What is a 2 term polynomial?.

Answers

Answer 1

Two term polynomial called as a binomial .

An algebraic equation that has more than two terms, particularly the accumulation of numerous phrases that each include a different power of the same variables known as polynomial.

But when we reduce more than two terms into only two terms we get binomial.

A formula in algebra that expresses the difference or sum of two terms is known as binomial.

For example:

[tex]x^{4} + x y^{2} +x^{2} + x[/tex] is polynomial because it has more than two separate terms which are [tex]x^{4}[/tex] , [tex]x y^{2}[/tex] , [tex]x^{2}[/tex] and [tex]x[/tex]

[tex]x^{2} + y^{2}[/tex] is binomial because it has only two separate terms which are [tex]x^{2}[/tex] and [tex]y^{2}[/tex].

[tex]4x+6y[/tex] is also binomial because it has also only two separate terms which are [tex]4x[/tex] and [tex]6y[/tex]

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Related Questions

Find and simplify the function (fg)(x)

Answers

The product between functions f(x) and g(x) is:

(fg)(x) = x^3 - 4x^2 - 16x + 4

How to write the product of functions?

Here we have two functions:

f(x) = x - 4

g(x)  = x^2 - 16

We want to find the product:

(f times g)(x)

So we just need to take the product between the two functions:

(x - 4)*(x^2 - 16)

x^3 - 4x^2 - 16x + 4

Then the product of the functions is:

(f times g)(x) = x^3 - 4x^2 - 16x + 4

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Suppose Mike surveyed 300 students. How many students would you expect to choose reptiles as their favorite pet?

Answers

Answer:150

Step-by-step explanation:

suppose he asks 300 and only 1/2 say yes,

which best shows an identity property?

Answers

Answer:

I believe the first one

Step-by-step explanation:

Which of the following shows that polynomials are closed under addition when two polynomials 4x2 − 8x − 7 and −5x + 16 are added?
A. 4x^2 − 13x + 9; may or may not be a polynomial
B. 4x^2 + 13x − 23; may or may not be a polynomial
C. 4x^2 − 13x + 9; will be a polynomial
D. 4x^2 + 13x − 23; will be a polynomial

Answers

According to the information, the correct option is C. . 4x^2 − 13x + 9, since the expression is a polynomial.

How to add the two expressions?

To add the expressions we must add each of its components (those that are similar) to form a single expression. Below is the procedure:

4x^2-8 -5 = -13- 7 + 16 = 9

Now we must reassemble the expression that would look like this.

4x^2 - 13 + 9. Additionally, we know that it is a polynomial because none of the terms related to x are affected by a square or fractional root.

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Evaluate the expression when a=6 and b=4. b - 3a

Answers

-14 is the value of the expression b - 3a at a =6 and b = 4.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression b - 3a

For this expression given,

a = 6 and b = 4

Thus the value of expression at given values

=> b - 3a

=> 4 - 3 * 6

=>4 - 18

=> -14

Therefore, the value of the expression b - 3a at a =6 and b = 4 is -14.

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Two cards are selected, without replacing the first card, from a standard deck. Find the probability that both cards are sevens.

Answers

The probability that both cards are sevens is 0.0044
What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

There are 52 cards, 4  are sevens.  

So the probability of picking the first 7 is 4/52.  

If you don't replace the card, then there are only 51 cards left, 3 of which are sevens.

So the probability of picking a seven on the second draw is 3/51.  

The probability of picking sevens on both draws is:

P(picking two sevens) = (4/52)·(3/51) =0.076*0.058=0.0044

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Sarah went shopping at a store and bought some hats that cost $6 each and 2 necklaces that cost $12 each. The cost of Sarah’s total purchases was $66. How many hats did Sarah buy?

Answers

The number of hats Sara bought is 7.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Sarah went shopping at a store and bought some hats that cost $6 each and 2 necklaces that cost $12 each.

The number of hats will be calculated as,

12N + 2H = 66

12 x 2 + 2 H = 66

2H = 66 - 24

2H = 42

H = 42 / 2

H = 21

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18. Find the equation of the circle with center (5, -3) and radius of 3. Show work.

Answers

Answer:

(x - 5)² + (y + 3)² = 9

Step-by-step explanation:

The standard equation of a circle with center (a, b) and radius r is given by

(x - a)² + (y-b)² = r²

Here the center is (5, -3) and r = 3

Substituting values for a = 5, b = -3 and r = 3

(x - 5)² + (y-(-3))² = 3²

(x - 5)² + (y + 3)² = 9

It is OK to leave it in this form without expanding

What is a degree 3 polynomial called?.

Answers

A polynomial of degree 3 is called a cubic polynomial.

A polynomial is described as an expression that consists of variables, constants, and exponents, which might be mixed with the use of mathematical operations along with addition, subtraction, multiplication, and department (No division operation by a variable).

In arithmetic, a polynomial is an expression that includes indeterminates and coefficients, that entail best the operations of addition, subtraction, multiplication, and fine-integer powers of variables. An instance of a polynomial of an unmarried indeterminate x is x² − 4x + 7.

Polynomials are sums of phrases of the form k⋅xⁿ, in which okay is any wide variety and n is a positive integer. for example, 3x+2x-5 is a polynomial. advent to polynomials.

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How many linear solutions are there?.

Answers

There are a lot of linear solutions to problems. In fact, there are an infinite number of them.

Linear solutions are the most common type of solution. They're also the easiest to solve. These solutions are used in algebra and geometry. There are six different types of equations in which a linear solution exists. These are:

1) One variable equals zero

2) Two variables are equal

3) Three variables are equal

4) Any equation with one constant and one other variable

5) Two variables have an equal ratio to another variable

6) Two variables are equal to a certain number One solution that's linear is a quadratic equation with two variables. It has the form x2 + bx + c = 0 To solve this equation, you can use basic algebraic skills like factorization, substitution, and addition.

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APEX QUIZ ANSWER

What else would need to be congruent to show that ABC=AXYZ by ASA?
B
A. ZB=LY
B. AC = XZ
C. BC = √2
OD. LC= LZ
Correct
This is the correct answer.
Z
Givenc
ZA ZX
2C=22
Please like this to help others

Answers

We need AC ≅ XZ to show that triangle ABC ≅ triangle XYZ by ASA congruence of triangle.

What is ASA congruence of triangle?

The two triangles are considered to be congruent according to the ASA rule if any two angles and the side located between the angles of one triangle are equal to the corresponding two angles and side located between the angles of the second triangle.

We are given the following:

1. ∠A ≅ ∠X

2. ∠C ≅ ∠Z

Now, in order to show the triangles as congruent by ASA congruence of triangle, we need the side which is in between both the angles.

The sides in between both the angles are AC and XZ.

Hence, we need AC ≅ XZ to show that triangle ABC ≅ triangle XYZ by ASA congruence of triangle.

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Why is equivalence important in maths?.

Answers

Equivalence relations are important in maths because of the following parts,

The fundamental theorem of equivalence relations is basic theorem.In integration theoryIn case of equivalent fraction

A relation R on a set A is called an equivalence relation if and only if the relation R is recursive, symmetric, and transitive. An equivalence relation is a relation on sets, and is generally represented by the symbol “~”. For example: "Equal to (=)" is the equivalence relation on any set of numbers A for all elements a, b, c ∈ A,

Reflexive: a = a ,

Symmetric: a = b ⇒ b = a and

Transitive: a = b, b = c ⇒ a = c.

This means that (=) is recursive, symmetric, and transitive. Equivalence relations are used in several areas of mathematics.

In integration theory, functions are considered "equal" if they differ only in a small set. in some respects. If the function is not identified in this way, some commonly used standards condition

does not satisfy || f || = 0 <=> f=0.

Two fractions are equivalent if they have the same decimal number. That is, if ad = b, a/b is equivalent to c/d. (One example is based on equivalence relations).

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Complete question:

Why is equivalence relation important in maths?.

find an equation of the line in the form ax=by=c whose x-intercept is -18 and y-intercept is -16, where a, b, and c are integers with no factor common to all three, and a0.

Answers

x + 0.89y = -14.22
Hope this helps.

When X 3x² 1 is divided by x 1 then remainder will be?.

Answers

After solving, the remainder when [tex]-x+3x^2-1[/tex]  is divided by x + 1 is 3.

In the given question, we have to find the remainder when [tex]-x+3x^2-1[/tex]  is divided by x + 1.

The given polynomial is [tex]-x+3x^2-1[/tex].

We have to find the remainder of the polynomial when we divide this polynomial x + 1.

To find the polynomial we equate x+1 equal to zero to find the value of x.

x + 1 = 0

x = -1

Now putting x = -1 in the given equation [tex]-x+3x^2-1[/tex].

P(x) = [tex]-(-1)+3(-1)^2-1[/tex]

P(x) = 1 + 3×1 - 1

P(x) = 1 + 3 - 1

P(x) = 3

Hence, the remainder when [tex]-x+3x^2-1[/tex]  is divided by x + 1 is 3.

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The complete question is:

When [tex]-x+3x^2-1[/tex]  is divided by x + 1 then remainder will be?

Carl's BBQ is increasing the amount of fries in their family value meal by 10%. If there were originally 16 ounces of fries in the family value meal, how many are there after the increase?​

Answers

Answer:

17.6

Step-by-step explanation:

Khalid and Jesse took different overnight buses. The graph shows the relationship between the total distance Khalid traveled and the time in hours. The distance Jesse traveled after x hours is given by the equation y=130x

Answers

Jesse's train is faster than Khalid's since 150 is greater than (>) 140 and she is traveling at 150 mph as opposed to 140 mph.

How is a graph calculated?

In order to put the equation in y-intercept (y=mx+b) form and determine the equation of a graphed line, first determine the slope and y-intercept. The slope is the ratio of the y-to-x change. Draw a sloping triangle connecting the two spots you find on the line.

According to the graph, the climb is 140 and the run is 1.

Since 140/1 equals 140, Khalid's slope is 140.

The slope is 150 according to the equation (y = 150x; y = mx).

Jesse's train is faster than Khalid's since 150 is greater than (>) 140 and she is traveling at 150 mph as opposed to 140 mph.

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Complete Question -

Please need ASAP!!!!
40 points

Answers

Answer: A or C i would go with C but ur instict

Step-by-step explanation:

Answer:

A or C

Step-by-step explanation:

Good Luck!

help pls i need to pass

Answers

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

NOOOOOO FIGURE IT OUT YOUR SELF THATS WHY THEY TEACH YOU DUHHHHHHHHHHHHH

To support a triangular kite, Hana
attaches thin strips of wood from each vertex
perpendicular to the opposite edge. She
then attaches the kite's string at the point
of concurrency. To calculate the point of
concurrency, she determines the coordinates
of each vertex on a coordinate plane. What
are the coordinates where the wood strips
cross? Round your answer to the nearest
hundredth.

Answers

The circumcenter of the triangle is at the point (22, 36). This is the point where the three thin strips of wood cross and where Mike attached the kite's string.

How to calculate the circumcenter of the triangle ?

The point of concurrency of the lines perpendicular to the sides of a triangle is known as the circumcenter of the triangle. To find the circumcenter of a triangle with vertices at (x1, y1), (x2, y2), and (x3, y3), you can use the following formula:

x = (x1 + x2 + x3) / 3

y = (y1 + y2 + y3) / 3

Plugging in the coordinates of the three vertices, we get:

x = (0 + 44 + 0) / 3 = 22

y = (58 + 36 + 0) / 3 = 36

So the circumcenter of the triangle is at the point (22, 36).

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f(x)=-x^2-4x+5
find the vertex, zeros, and y-int.

Answers

The vertex, zeros, and y-intercept for the given quadratic equation f(x)=       -x² - 4x+5 are respectively,

Vertex- (2, 1)

Zeros-  (2 + i)

Y-intercept- 5

What is an Equation ?

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

f(x) = y =  -x² - 4x+5

y = -x² - 4x+5

For making it perfect square, we can add and subtract square value of half of coefficient of x

So,  adding and subtracting +4 and -4 in the given equation

y = -x² - 4x+5+4-4

  = -x² - 4x+4+5-4

  = (-x +2)² +1

y-1 = (-x +2)²

So, for vertex

-x +2 = 0

x = 2

y-1 = 0

y = 1

For Zeros, y = 0

y-1 = (-x +2)²

(-x +2)² = -1

x = 2 + i,   -2-i

the zeros are imaginary

For y intercept, x = 0

y-1 = (-x +2)²

y   = 1 + (2)²

y   = 5

Hence,  vertex, zeros, and y-int. are respectively (2, 1), (2 + i), 5

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The dot plots show the ditribution of the length, in centimeters, of 25 shark teeth for an extinct species of shark and the length, in centimeters, of 25 shark teeth for a closely related shark species that is still living. Compare the two dot plots using the shape of the distribution, measures of center, and measures of variability. Use the situation described in the problem in your explanation

Answers

From the situation described in the problem: all the required values are given below.

What is a distribution?

The distribution of values in a field is described by a statistical distribution, often known as a probability distribution. In other words, the statistical distribution identifies the typical and unusual values. The bell-shaped normal distribution is one of many varieties of statistical distributions.

Given:

The dot plots show the distribution of the length, in centimeters, of 25 shark teeth for an extinct species of shark and the length, in centimeters, of 25 shark teeth for a closely related shark species that is still living.

The shape of the distribution:

For living species - Left-skewed distribution

For extinct species - The symmetric distribution.

Measures of the center:

For living species - mean = 2.32

For extinct species - mean = 3.02

The measures of variability:

For living species - 0.13

For extinct species - 0.55

Therefore, all the required values given above.

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How do you do thissss‍♀️..?

Answers

Answer:

the answer is A because you can know

Does the following equation has the sum of its roots as 3 3x² 3x 3 0?.

Answers

The equation -x² + 3x - 3 = 0 has the sum of the roots as 3. Given that a quadratic equation's roots add up to three.

A quadratic polynomial in terms of the zeroes (α,β) is given by

x2 - (sum of the zeroes) x + (product of the zeroes)

f(x) = x2 -(α +β) x +αβ

From the options,

A) 2x² - 3x + 6 = 0

Dividing by 2,

x² - 3/2x + 3 = 0 ------------------ (2)

Comparing (1) and (2),

α + β = 3/2

Therefore, the sum of the roots of the equation is 3/2.

B) -x² + 3x - 3 = 0

The equation can be written as x² - 3x + 3 = 0 ------------- (3)

By comparing (1) and (3),

α + β = 3

Therefore, the sum of the roots of the equation is 3.

C) √2x² - 3/√2x + 1 = 0

Dividing by √2,

x² - 3/2x + 1/√2 = 0 ------------ (4)

By comparing (1) and (4),

α + β = 3/2

Therefore, the sum of the roots of the equation is 3/2.

D) 3x² - 3x + 3 = 0

Dividing by 3,

x² - x + 1 = 0 -------------------------- (5)

By comparing (1) and (5),

α + β = 1

The equation's roots are added together, and the result is 1.

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how much water do you add to make this concentration? 25% sugar syrup using 15 g sugar

Answers

The amount of water to add is 45 grams

How to determine the amount of water to add

From the question, we have the following parameters that can be used in our computation:

Sugar = 15 grams

Proportion of syrup = 25%

So organizing the information given in the statement we have that:

25% sugar syrup means it has 25% sugar and 75% waterAmount of sugar = 15g = 25%

In this way, we can calculate the missing value for this percentage as:

25% of x = 15 grams

Express as decimal

So, we have

0.25 * x = 15

Divide both sides by 0.25

x = 60

This means that the total amount is 60 grams

If the syrup contains 25% of sugar, then 75% would be water (assume no other item is present)

So, we have

Water = 75% * 60g

Water = 45g

Hence, the amount is 45 grams

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Answer: 45 g of water

Step-by-step explanation:

ratios equal to 8:14

Answers

Answer: Two equivalent ratios are, 16:28 and 24:42

Step-by-step explanation:

Simple fly expression 4•3+4•x

Answers

The value of x is -3 for the given equation.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression 4 *3 + 4*x = 0

Simplify the equation using PEMDAS

=> 4*3 + 4*x = 0

=> 12 + 4x = 0

=> 4x = -12

=> x = -3

Therefore, the simplified value of the Given equation is x = -3.

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Find the value of $x$ .

Two right triangles are shown, triangle A B C and triangle D E F. Angle B and angle E are marked as right angles. Angle C and angle F are marked as being congruent. For triangle A B C, side A C is labeled x inches and side B C is labeled 6 inches. For triangle D E F, side D F is labeled 12 inches and side E F is labeled 8 inches.

Answers

Answer:

9

Step-by-step explanation:

x/6=12/8

x=12*6/8

x=72/8

x=9


X - 3.5 > 6.9
Pls what is the solution to the inequality

Answers

Answer:

x > 10.4

Step-by-step explanation:

Isolate X by adding 3.5 to each side of the inequality

That leaves you with x > 6.9 + 3.5

A penny is tossed twice.
What is the probability that it will land tails up both times?

Answers

the correct answer is 25% or 1/4

What is the gradient of y =- 2x 3?.

Answers

Gradient of given equation x-intercept: a=−32 y-intercept: b=3

The gradient of a function is defined to be a vector field. Generally, the gradient of a function can be found by applying the vector operator to the scalar function. (∇f (x, y))

The given equation of line:

y=2x+3

Comparing above equation with the standard slope-intercept form

y=mx+ c,

we get

Slope:

m=2

Now, given equation can be re-written as

2x−y=−3

x−32+y3=1

Comparing above equation with intercept form:

x a + y b =1,

we get

x-intercept:

a=−32

y-intercept:

b=3

Now, the given straight line intersects the coordinate axes at

(−32,0) & (0,3)

Specify these points on XY-plane & join them by a straight line to get plot.

Gradient of given equation x-intercept: a=−32 y-intercept: b=3

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