The EF is the diameter. Then the area of the circle is 113.04 square meters.
circle :
A circle is a circular shape without corners or line segments. In terms of geometry, it has the shape of a closed curve.
EF = diameter
EF = 12 meter
then, radius = d/2 = 12/2 = 6 meter
Area of the circle is calculated as:
area = πr²
area = 3.14 x 6 x 6
area = 113.04 square meter
The given que is incomplete . The correct question is given as :
The EF is the diameter. If EF measures 12 meters, the approximate area of circle B is square meters.
The EF is the diameter. Then the area of the circle is 113.04 square meters.
To know more about circle
https://brainly.com/question/27683633
#SPJ1
Which of the following is false?
O 7.401 < 7.411
O 6.881 > 6.429
O 3.391 < 3.42
1.224 1.242
Answer:
A-C are all true, What is option D?
Step-by-step explanation:
If D is 1.224 > 1.242 then that is the false statement
If D is 1.224 < 1.242 then there are no false statements.
URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!!!
The value [tex]x=66[/tex] and [tex]2x=132[/tex] that make line m parallel to line n.
What is corresponding angle?According to the definition of corresponding angles, when two parallel lines cross a third one, the angles that are in the same relative position at each intersection are referred to as being corresponding angles to one another.Geometry and the definition of the appropriate angles allow us to state the following:Parallel lines m and n are shown. we have two parallel lines as a result.Lines m and n cross at line 3. As a result, when parallel lines intersect, we can see that angles m and n occupy the same relative position in the intersection region: the upper right side angles.As a result, it appears that our definition of equivalent angles is reasonable. Angles m and n are therefore said to be equivalent angles.Therefore,
∠132°=∠2x°
[tex]\frac{132}{2} =66[/tex]
hence, x=66°
To learn more about corresponding angle, refer to
https://brainly.com/question/28769265
#SPJ1
0.5 divided by 516.3
The value of division when 0.5 divided by 516.3 is 0.000968
In this question, we have been given two decimal numbers 0.5 and 516.3
We need to find the value of division when 0.5 divided by 516.3
The division of decimal numbers is:
0.5/516.3 = 0.0009684292
0.5/516.3 ≈ 0.001
Therefore, the value of division when 0.5 divided by 516.3 is 0.000968
Learn more about division here:
https://brainly.com/question/3004071
#SPJ1
Solve the following percent problems using the appropriate percent equation. Describe
the steps used to calculate each answer.
1) What distance is 24% of 710 miles?
2) 62 hours is what percent of 3 days?
3) 16% of what number is 8
Answer:
Step-by-step explanation:
Write a unit rate for the situation.
$12.50 for 5 ounces
A division is a process of splitting a specific amount into equal parts. The unit rate for $12.50 for 5 ounces is $2.5
What is Division?A division is a process of splitting a specific amount into equal parts.
Given,
$12.50 for 5 ounces
We need to find for a unit rate.
For this we need to use division. We have to split $12.50 among 5 ounces.
12.50 as Divisor and 5 as dividend.
Twelve point five zero divided by five
$12.50/5
2.5
Hence the unit rate for $12.50 for 5 ounces is $2.5
To learn more on Division click:
https://brainly.com/question/21416852
#SPJ1
how to calculate p-value in one-way anova table
The p-value in one-way anova table can be calculated using the following parameters
The numerator degrees of freedomThe denominator degrees of freedomThe F valueHow to determine the p-value in one-way anova table?The anova table represents the analysis of variance.
To calculate the p value from the anove table, the following parameters are needed
df Treatment, df Error and F value
The representation of the above parameters are:
The numerator degrees of freedom (df Treatment)The denominator degrees of freedom (df Error)When these values are known, we look up to the df Treatment, df Error and F values on the anova table, and write out the corresponding p value
Take for instance:
F-value = 2.358, df Treatment = 2df Error = 27The p-value for the above parameters is 0.1138
Read more about p-value at
https://brainly.com/question/4621112
#SPJ4
Ahmad and Daryl had an equal amount of money at first. Ahmad's father gave him another $180, and Daryl spent $255. Ahmad then had 4 times as much money as Daryl. How much money did each of them have at first?
Answer:
$400
Step-by-step explanation:
Suppose Ahmad and Daryl both started with the same x amount of dollars.
Ahmad gains another 180 from his father, so he now has x+180 dollars.
Daryl spends 255, so he now has x-255 dollars.
After these events, Ahmad has 4 times as much money as Daryl, so
x+180=4(x-255)
Now we can solve for x to get the original amount of money.
x+180=4(x-255)
x+180=4x-1020
1200=3x
x=400
Both Ahmad and Daryl started with $400.
Question 1 (1 point) A small company wants to set up a server that is accessible from the company network as well as the Internet. Which of the following is MOST important to determine before allowing employees to access the server remotely The quality of the computer used to connect A security method of allowing connections The employees' home ISP speeds The geographical location of the employees
The most important to determine before allowing employees to access the server remotely is B. security method of allowing connections.
What is a computer network?Computer networking refers to the interconnection of computing devices that can exchange data and share resources. These networked devices use a set of rules known as communications protocols to transmit data over physical or wireless networks.
A computer network is a collection of computers that share resources that are located on or provided by network nodes. To communicate with one another, the computers use common communication protocols over digital interconnections.
Local-area networks (LANs) and wide-area networks (WANs) are the two basic network types (WANs). LANs connect computers and peripheral devices in a constrained physical area, such as a business office, laboratory, or college campus, using data-transmitting links (wires, Ethernet cables, fiber optics, Wi-Fi).
In this case, it should be noted that the security method that's used for allowing the connection is important. Based on the information illustrated, the correct option is B.
Learn more about network on:
https://brainly.com/question/1027666
#SPJ1
Determine whether the following quadratic function has a maximum or a minimum value. Then find the maximum or minimum value and where it occur:
F(x)=-3x²+18x+3
Select the correct choice below and fill in the answer boxes to complete your choice.
(Simplify your answers.)
The function has a maximum value of ___ at x=____.
The function has a minimum value of ____ at x=____.
Answer:
maximum: 30x = 3Step-by-step explanation:
You want to find the maximum or minimum value and where it occurs for the function F(x)=-3x²+18x+3.
Vertex formThe vertex form of a quadratic is ...
f(x) = a(x -h)² +k . . . . . . . vertex at (h, k)
The graph opens downward if a < 0, and opens upward for a > 0. When the graph opens downward, the function has a maximum at the vertex. When the graph opens upward, the function has a minimum at the vertex.
ApplicationWe can put the function in vertex form as follows:
F(x) = -3(x² -6x) +3 . . . . . factor out the leading coefficient
F(x) = -3(x² -6x +9) +3 +3(9) . . . . . . subtract and add 3(9)
F(x) = -3(x -3)² +30 . . . . . . . . . simplify to vertex form
Comparing this equation to the form shown above, we see ...
a = -3 < 0 . . . . . . . . . the function has a maximum
(h, k) = (3, 30) . . . . . the maximum is 30 at x=3
__
Additional comment
The square of the binomial in parentheses is ...
(x -p)² = x² -2px +p²
That is, to "complete the square", we add the square of half the x-coefficient. Here, that coefficient is -2p=-6, so we want to add p²=9 inside parentheses. To keep the expression the same, we need to add the opposite amount outside parentheses. We are effectively adding 0 in the form of -3(9) +3(9) = 0 so the expression can be put in vertex form.
A graphing calculator can quickly show you the minimum or maximum of the function.
Write as a unit rate 44 point in 4 quarters
Answer: 11 points per quarter
Step-by-step explanation:
To find the Unit rate of 44 points in 4 quarters.
It is given that in 4 quarters there are 44 points
so we will divide 44 points by 4 quarters to get how many points are there in 1 quarter.
the unit rate = 44/4 = 11 points
There are 11 points in 1 quarter.
A pizza restaurant used 1/2 of a liter of pizza sauce to make some pizzas. They put 1/8 of a liter of sauce on each pizza. How many pizzas did they make?
Answer:
4
Step-by-step explanation:
you can convert 1 half to 20/40 and 1/8 to 5/40 5,10,15,20 you can make 4 pizzas
The figure below is rotated 180° counterclockwise. What are the coordinates of the image of point W after this transformation?
The coordinates of the image of point W after a rotation of 180° counterclockwise are W'(-2,-5).
What is graph transformation?The technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation.
The coordinates of the given point W are W(2,5).
The coordinate rule for a 180°counterclockwise rotation is:
(x,y)→(-x,-y)
Substitute (x,y) = (2,5) into the above coordinate rule:
(2,5) → (-2,-5)
Hence, the coordinates of the image of point W after a rotation of 180° counterclockwise are W'(-2,-5).
To learn more about graph transformation, click here:
https://brainly.com/question/10059147
#SPJ1
Arrange the following polynomials in order of their degree from least to greatest.
The polynomials in order of their degree from least to greatest are x, -3x² - 1, 4c² + c - 3, -8y³ + 5y - 2, y¹⁰
How to order the polynomials?The list of options represents the given parameters
The degree of a polynomial is the highest power of the polynomial
Take for instance, a polynomial ax^n has a degree of n
This means that the degrees of the given polynomials are:
Degree of x = 1Degree of -3x² - 1 = 2Degree of 4c² + c - 3 = 2Degree of -8y³ + 5y - 2 = 3Degree of y¹⁰ = 10The above represents the order of the polynomials
Read more about polynomials at
https://brainly.com/question/17517586
#SPJ1
Please I need some help understanding this
The values are given below,
Left Hand Limit i.e. lim x -> 1- f(x) = 3 ,
Right Hand Limit i.e. lim x -> 1+ f(x) = 1 ,
Function value at x = 1 i.e. f(1) = 1 ,
Left Hand Derivative lim x -> 1- f'(x)= -6 and
Right Hand Derivative lim -> 1+ f'(x) = -6.
So, the function f(x) is neither continuous nor differentiable at x = 1.
Given, a piecewise function
3㏑(3 - 2x) + 3 for x < 1
f(x) =
-3x² + 4 for x ≥ 1
Now, for lim x -> 1- f(x) we will consider the function 3㏑(3 - 2x) + 3, as we have to find the Left Hand Limit of the function, at x = 1.
lim x -> 1 3㏑(3 - 2x) + 3 = 3㏑(3 - 2(1)) + 3
= 3 ㏑(1) + 3
= 0 + 3
= 3
Now, for lim x -> 1+ f(x) we will consider the function -3x² + 4, as we have to find the Right Hand Limit of the function, at x = 1.
lim x -> 1 -3x² + 4 = -3(1)² + 4
= -3 + 4
= 1
Now, for f( 1 ) we will consider the function -3x² + 4,
f(1) = -3(1)² + 4
= -3 + 4
= 1
Now, for lim x -> 1- f'(x) we will consider the derivative of the function
3㏑(3 - 2x) + 3,
lim x -> 1 -6/(3 - 2x) = -6/(3 - 2(1))
= -6
Now, for lim -> 1+ f'(x) we will consider the derivative of the function
-3x² + 4,
lim x -> 1 -6x = -6(1)
= -6
So, the function f(x) is neither continuous nor differentiable at x = 1.
Hence, lim x -> 1- f(x) = 3 , lim x -> 1+ f(x) = 1 , f( 1 ) = 1 , lim x -> 1- f'(x) = -6 and lim -> 1+ f'(x) = -6.
The function is neither continuous nor differentiable at x = 1.
Learn more about Limits, Continuity and Differentiability here brainly.com/question/12212916
#SPJ1
find GH thank you sm nd will mark brainlist
Answer:
[tex]\text{GH} = 47[/tex]
Step-by-step explanation:
GH is one of the midsegments of triangle DEF. It divides both DE and EF to two equal segments (EH = HF, BG = GD).
A midsegment of a triangle has 3 characteristics:
- It splits the two sides it bisects into 2 equal segments.
- It is parallel to the side it doesn't bisect.
- It is equal to half the length of the side it doesn't bisect.
Applying the logic of the third characteristic, we can claim that GH = 1/2 * DF.
[tex]\text{GH} = \frac12\text{DF}\\\to 3x - 4 = \frac12 \times (9x - 59)\\\to 6x - 8 = 9x - 59\\\to 51 = 3x\\\to x = 17\\ \\\to \text{GH} = 3x - 4 = 3 \times 17 - 4 = 51 - 4 = 47[/tex]
Tell whether the lines through the given points are parallel, perpendicular, or neither.
Line 1: (-9,3) (-5,7)
Line 2: (-11, 6) (-7, 2)
The slope of line 1 is
.
The slope of line 2 is
.
Answer:
Line 1: slope is 1
Line 2: slope is -1
Lines are perpendicular
Please help! Very hard! I will mark brainliest!
4. Definition of complementary
5. Substitution
6. Subtraction property
7. Definition of Congruence
What are corresponding angles?
According to the equivalent angle postulate, if a transversal meets two parallel lines, the corresponding angles must be congruent. In other words, the corresponding angles will always be identical if a transversal intersects two parallel lines.The angles that use the same relative location at each intersection of two parallel lines with a third line are known as corresponding angles to one another.The matching angles are similar to one another in nature.The two lines are parallel in nature if the corresponding angles in the two regions of intersection are congruent.Based on their sum, corresponding angles can be:Supplementary Corresponding Angles (if their sum is 180 degree)Complementary Corresponding angles (if their sum is 90 degrees)To know more about Corresponding Angles check the below link:
https://brainly.com/question/2009183
#SPJ1
find dy/dx of the following
1) y = tan^-1(3x-x³/1-3x²) where -1/√3 < x < 1/√3
[tex]{ \boxed{ \purple{ \sf{ \frac{dy}{dx} = \frac{3}{1 + {x}^{2}}}}}} [/tex]
Step-by-step explanation:
Given question is, [tex]{ \red{ \sf{y = {tan}^{ - 1}( \frac{3x - {x}^{3} }{1 - 3 {x}^{2} })}}}[/tex]
Put [tex]{ \tt{x = \tan \theta }}[/tex] then,
[tex]{ \tt{ \theta = { \tan}^{ - 1} x}}[/tex]
[tex]{ \red{ \sf{y = { \tan}^{ - 1}( \frac{3 \: tan \theta - { \tan}^{3} \theta}{1 - 3 { \tan}^{2} \theta})}}}[/tex]
But [tex]{ \green{ \sf{ \tan3 \theta = \frac{3 \: \tan \theta - { \tan}^{3} \theta }{1 - 3 \: { \tan}^{2} \theta}}}} [/tex]
[tex]{ \red{ \sf{y = { \tan}^{ - 1} ( \tan3 \theta)}}}[/tex]
[tex]{ \red{ \sf{y = 3 \theta}}}[/tex]
[tex]{ \red{ \sf{y = 3}}}{ \tt{ { \tan}^{ - 1} x}}[/tex]
[tex]{ \red{ \sf{ \frac{dy}{dx} = 3 \times }}}{ \tt{ \frac{1}{ {1 + x}^{2}}}} [/tex]
•°•[tex]{ \green{ \boxed{ \red{ \sf{ \frac{dy}{dx} = \frac{3}{1 + {x}^{2}}}}}}} [/tex]
A toy rocket is shot vertically into the air from a launching pad 7 feet above the ground with an initial velocity of 72 feet per second. The height h, in feet, of the rocket above the ground at t seconds after launch is given by the function h(t)=-16 t²+72 t+7. How long will it take the rocket to reach its maximum height? What is the maximum height?
The rocket reaches its maximum height at ______ second(s) after launch.
(Simplify your answer.)
The maximum height reached by the object is ______feet.
(Simplify your answer.)
The rocket reaches its maximum height at 2.25 second(s) after launch
The maximum height reached by the object is 88 feet.
Time to reach the maximum heightThe function is given as
h(t) = -16t² + 72t + 7
Differentiate the above function
So, we have the following representation
h'(t) = -32t + 72
Set to 0
-32t + 72 = 0
So, we have
32t = 72
Divide by 32
t = 2.25
Hence, the time is 2.25 seconds
The maximum heightIn (a), we have
t = 2.25
Substitute t = 2.25 in h(t) = -16t² + 72t + 7
h(2.25) = -16(2.25)² + 72(2.25) + 7
Evaluate
h(2.25) = 88
Hence, the maximum height is 88 feet
Read more about height functions at
https://brainly.com/question/10837575
#SPJ1
IXL Please Help Fast!, Thank you guys for the help!
Answer:
FROM YOUR IXL I GOT IT FOR YOU
Step-by-step explanation:
You are running a fuel economy study. One of the cars you find is blue. It can travel 28 1/2 miles on 1 1/4 gallons of gasoline. Another car is red. It can travel 28 4/5 on 4/5 gallons of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallon of gasoline?
If you are running a fuel economy study. the unit rate for miles per gallon for each car is 22.8 miles and 23.04 miles and the fastest car is Red car.
How to find the unit rate?Units rate = Distance /Time
Blue car
Unit rate = 28 1/2 miles ÷ 1 1/4 gallons of gasoline
Unit rate = 28.5miles ÷ 1.25 gallons of gasoline
Unit rate = 22.8 miles
Red car
Unit rate = 28 4/5 miles ÷ 4/5 gallons of gasoline
Unit rate = 28.8miles ÷ 0.8 gallons of gasoline
Unit rate = 23.04 miles (Fastest)
Therefore the unit rate for each car is 22.8 miles and 23.04 miles and the fastest car is Red car.
Learn more about unit rate here:https://brainly.com/question/19493296
#SPJ1
Which decimal is equivalent to 201%?
210
2.01
2.10
0.201
Answer: 2.01
Step-by-step explanation:
A percentage is equal to x/100.
For example, 5% would be equal to 5/100.
5/100 = 0.05
So 201% = 201/100.
201/100 = 2.01
A library had 32 shelves of books. The books were placed either on the right or left side of the shelves. Each shelf had 21 books. There were 301 books on the left, how many books were there on the right?
Answer:
371
Step-by-step explanation:
hope it helped :)
Answer:
there are books on the right
371
Step-by-step explanation:
each shelves is 21
there are 32
books on the left 301
so the rest are on the right
21*32-301=371
so find how many are there and minus it by the books on the left side
[tex]21 \times 32 - 301[/tex]
Line C has a slope of -1. LINE D has a slope of -2. COMPARE the slopes of the lines.
Line C has a slope of -1. LINE D has a slope of -2.
To Compare the slopes of the lines.
Let us consider the following problem:
In the xy-plane, the point (-1,-2) is on the line j, and the point (-2,-1) is on the line k. Each of the lines has a Negative slope.
We should compare slopes of both the lines to each other, because we may have such kind of two lines
y=x+1 and y=x−1
so we see that their slopes are equal, but we may have also
y=2∗x or slope 2
and
y=1/2∗x or slope 1/2,
Hence, the answer is i think that there is not enough information to compare slopes of the lines.
To learn more about slopes click here https://brainly.com/question/3493733
#SPJ9
A drone flying over a field of corn identifies a dry area. The coordinates of the vertices of the area are shown. To what coordinates should the portable irrigation system be sent to water the dry area? Explain your reasoning.
The coordinates to which the portable irrigation system should be sent to water the area are:
(495.75, 672).
Where to send the portable irrigation system?The portable irrigation system should be sent right to the middle of the dry area given by the rectangle at the end of the answer.
Hence the coordinates are given as follows:
x-coordinate: Mean of the x-coordinates of x = 56, x = 144, x = 888, x = 895.y-coordinate: Mean of the y-coordinates of y = 289, y = 332, y = 1012, y = 1055.Hence the x-coordinate of the point to which the system should be sent is:
x = (56 + 144 + 888 + 895)/4 = 495.75.
(the mean is given by the sum of the observations divided by the number of observations).
The y-coordinate of the point to which the system should be sent is:
y = (289 + 332 + 1012 + 1055)/4 = 672.
Missing InformationThe area is given by the image at the end of the answer.
More can be learned about the mean of a data-set at https://brainly.com/question/20118982
#SPJ1
5. It is recommended that a pregnant woman should increase her calcium
intake by 1.2 g per day. A normal pregnancy last 40 weeks. How much
extra calcium would a woman receive if she follows this advice?
The required extra calcium that women receive is 336 g during pregnancy.
Given that,
It is recommended that a pregnant woman should increase her calcium intake by 1.2 g per day. A normal pregnancy last 40 weeks.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
According to the question,
Amount of calcium intake,
= 1.2 × 40 × 7
= 336g
Thus, the required extra calcium that women receive is 336 g during pregnancy.
Learn more about arithmetic here:
https://brainly.com/question/11424589
#SPJ1
For her party can Nina fill fewer than 10 bags with treats between 10 and 20 bags between 20 and 30 bags or more than 30 bags explain
The correct option regarding the number of bags filled by Nina, using proportions, is given as follows:
Between 20 and 30 bags.
What is a proportion?A proportion is a fraction of an amount, and this fraction is combined with the unit rates of the problem and basic arithmetic operations, especially multiplication and division, to find the desired amounts in the context of the problem.
In this problem, a proportion is applied to find the number of bags filled by Nina, which is given by the division presented as follows:
Number of bags = Number of treats / Treats per bag.
The values of these parameters are given as follows:
Number of treats: 78.Number of treats per bag: 3.Hence the numeric value of the expression is:
Number of bags = 78/3 = 26.
Which is a number between 20 and 30.
Missing InformationThe problem states that Nina had 78 treats, and each bag has 3 treats, then it asks the correct option regarding the number of bags.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
80% of what number is 280
Using the percentages formula, we know that 80% of 350 is 280.
What is the percentage?A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" is also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.By dividing the value by the entire value and multiplying the result by 100, one may determine the percentage. The percentage calculation formula is (value/total value)100%.So, let the number be x:
Then, 80% of x is 280:Now, calculate as follows:
x/100 × 80 = 28080x = 280 × 10080x = 28000x = 28000/80x = 2800/8x = 350Therefore, using the percentages formula, we know that 80% of 350 is 280.
Know more about percentages here:
https://brainly.com/question/9553743
#SPJ13
0000000036 * 000000716
Answer:
your answer is 25776
Step-by-step explanation:
Answer: 25776 is your answer
PLEASE HELP! WILL GIVE BRAINLIEST IF IT IS CORRECT
The polynomial function of least degree with leading coefficient 1 and having zero at the given points is, [tex]f(x) = x^3-3x^2+\sqrt{5}x^2 +2x-\sqrt{5} x[/tex].
What is polynomial?
A polynomial is an expression in mathematics that solely uses the operations of addition, subtraction, multiplication, and powers of positive-integer variables. It consists of indeterminates and coefficients. The polynomial x^2 + 4x + 7 is an illustration of one with a single indeterminate x.
From the given polynomial, the least degree polynomials are,
f(x) = x^3 -5x^2 + 3x - x
[tex]f(x) = x^3-3x^2+\sqrt{5}x^2 +2x-\sqrt{5} x[/tex]
These polynomial having leading coefficient 1.
Now to check x = 0, 1, (2 [tex]-\sqrt{5}[/tex]) are zeros of which polynomial.
Consider, the first polynomial
f(x) = x^3 -5x^2 + 3x - x
plug x = 0
f(0) = 0 - 5(0) + 3(0) - 0
f(0) = 0
plug x = 1
f(1) = 1^3 - 5(1)^2 +3(1) - 1
f(1) = 1 - 5 + 3 - 1
f(1) = -2
f(1) ≠ 0
Therefore, 1 is not the zero of this polynomial.
Now consider, the next polynomial
[tex]f(x) = x^3-3x^2+\sqrt{5}x^2 +2x-\sqrt{5} x[/tex]
Plug x = 0
f(0) = 0
f(1) = 0
[tex]f(2-\sqrt{5} )=0[/tex]
Therefore, the polynomial [tex]f(x) = x^3-3x^2+\sqrt{5}x^2 +2x-\sqrt{5} x[/tex] having given zeros.
To know more about polynomial, click on the link
https://brainly.com/question/2833285
#SPJ1
Answer:
[tex]f(x)=x^3-3x^2+\sqrt{5}x^2+2x-\sqrt{5}x[/tex]
Step-by-step explanation:
Given information:
Leading coefficient of 1.Zeros at x = 0, 1, 2-√5.Factor Theorem
If f(x) is a polynomial, and f(c) = 0, then (x – c) is a factor of f(x).
Therefore, the function in factored form is:
[tex]\implies f(x)=1 \cdot x(x-1)(x-(2-\sqrt{5}))[/tex]
[tex]\implies f(x)=x(x-1)(x-2+\sqrt{5})[/tex]
Expand the factored function:
[tex]\implies f(x)=x(x^2-2x+\sqrt{5}x-x+2-\sqrt{5})[/tex]
[tex]\implies f(x)=x(x^2-3x+\sqrt{5}x+2-\sqrt{5})[/tex]
[tex]\implies f(x)=x^3-3x^2+\sqrt{5}x^2+2x-\sqrt{5}x[/tex]
