Express the polynomial as a product of linear factors.
1x) = 3x^3+12x^2 + 3x - 18
O A. (x-2)(x+3)(x-3)
O B. (x+3)(x + 6)(x - 1)
O c. 3(x - 1)(x+3)(x+2)
D. (x-3)(x + 3)(x - 2)

Express The Polynomial As A Product Of Linear Factors.1x) = 3x^3+12x^2 + 3x - 18 O A. (x-2)(x+3)(x-3)O

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Given

3x³ + 12x² + 3x - 18

The sum of the coefficients = 3 + 12 + 3 - 18 = 0

Thus x = 1 is a root and (x - 1) is a factor

Divide 3x³ + 12x² + 3x - 18 by (x - 1) using Synthetic division

 1 |  3   12   3   - 18

       ↓   3   15     18  

    -----------------------------

       3   15   18     0 ← remainder

Quotient = 3x² + 15x + 18 = 3(x² + 5x + 6)

Thus

3x³ + 12x² + 3x - 18 = 3(x - 1)(x² + 5x + 6) = 3(x - 1(x + 3)(x + 2) → C

   


Related Questions

simplify (2xyz^2)^5.

Answers

Answer:

4x^5y^5z^7

Step-by-step explanation:

4x^5y^5z^7

Answer:

[tex](2xyz^2)^5[/tex]

This equation shows us that the whole thing in the parenthesis need to be multiplied by 5 times.

The result:

[tex]=32x^5y^5z^{10}[/tex]    

([tex]\left(a^b\right)^c=a^{bc}[/tex] this is how I got the exponent 10 for z)

MORE POINTS!!! HELP ASAP!!
x^2 = 9 and y^3 = 8
What is the greatest possible value of (x-y)^2?

Answers

Answer:

1

Step-by-step explanation:

x^2=9. and. y^3=8

=x=3. and. y=2

=(x-y)^2

=(3-2)^2

=1^2

=1

I believe the answer is 1

1.3.AP-2
Question
Complete the statement below. Then use a number line to find the sum - 3+5.
- 3+5 is
I
units from - 3, in the
direction.
- 3+5 is
units from - 3, in the
direction.

Answers

Answer:

-3+5=2 because you are basically subtracting 5-3 which equals 2

What is half of the world’s population

Answers

Answer:

3,900,000,000

Step-by-step explanation:

The current global population is 7,800,000,000.

Half of this is 3,900,000,000.

I searched up the world’s population, and google says the world has an approximate population of 7,800,000,000

So to find half of the world’s population, divide 7,800,000,000 by two.

So, half of the world’s population is 3,900,000,000

Find the 9th term of the geometric sequence whose common ratio is 1/2 and whose first term is 4.

Answers

Answer:

The 9th term is 1/64.

I hope it is correct ✌️

Help idk how to do this please

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 2.5}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ \frac{3}{x - 1} = 2}[/tex]

Do cross multiplication

[tex] \longrightarrow{ \sf{2(x - 1) = 3}}[/tex]

Distribute 2 through the parentheses

[tex] \longrightarrow{ \sf{2x - 2 = 3}}[/tex]

Move 2 to right hand side and change it's sign

[tex] \longrightarrow {\sf{2x = 3 + 2}}[/tex]

Add the numbers : 3 and 2

[tex] \longrightarrow{ \sf{2x = 5}}[/tex]

Divide both sides by 2

[tex] \longrightarrow{ \sf{ \frac{2x}{2} = \frac{5}{2}}} [/tex]

Calculate

[tex] \longrightarrow{ \sf{x = 2.5}}[/tex]

Hope I helped!

Best regards! :D

What is the horizontal position of a point

Answers

Search Results
Featured snippet from the web
In this context, a horizontal position is the location of a point relative to two axes: the equator and the prime meridian on the globe, or x and y axes in a plane coordinate system. Control points tie coordinate systems to actual locations on the ground; they are the physical manifestations of horizontal datums.

For a field trip 11 students rode in cars and the rest filled eight buses. Which equation below will help you find how many students were in each bus if 315 students were on the trip? 11x + 8 = 315 315 + 8x = 11 8x + 11 = 315

Answers

Answer:

8x + 11= 315

Step-by-step explanation:

Let x = the number of students in a bus

There are 8 buses

8x is the number of students in buses

There are 11 students in cars

Add this together to get all the students, which is 315

8x + 11= 315

Answer:

8x + 11 = 315

Step-by-step explanation:

Note: There are 315 students in all. The expression being created will equal this amount.

11 of the students rode in cars, so they will be excluded from the bus amount. Add those at the end (+11).

It is given to us that there are 8 buses in all. You are solving for the amount of students in each bus, which is signified by x. As there are 8 buses, you will multiply the two together: 8x

8x + 11 = 315 is your answer.

~

Simplify -4.5+4.2+5.6-7.3

Answers

Answer:

-2

Step-by-step explanation:

Hope you do well on your assignment!

Answer:

-2 is the answer

Step-by-step explanation:

evaluate:5/8 - (1/4)2

Answers

Answer:

1/8

Step-by-step explanation:

5/8 − 1/2

Throughout this activity, the scale factor, n, has been a positive value. However, a scale factor for dilations can also be negative. When a set of coordinates on a preimage is multiplied by -n instead of n, the coordinates of the image rotate about the center of dilation by 180°. Consider all the potential intervals of n in the table. Enter information in the table to indicate whether the scale factor produces an enlargement, a reduction, or no size change. Also indicate whether the image rotates 180° about the center of dilation. The first one has been done for you.

Answers

PLATO , Sample answer had to do it myself through another account so I don’t get scammed, your welcome for future kids

Flying with the wind, a plate went 251 km/h. Flying into the same wind, the plane only went 219 km/h. What is the speed of the wind?

A. 8 km/h
B. 15 km/h
C. 26 km/h
D. None of the above.

Answers

Answer: Option D, the actual speed of the wind is 16km/h.

Step-by-step explanation:

Let's define two quantities:

Sp = Speed of the plane, that we assume it is constant.

Sw = Speed of the wind, that we assume it is constant.

When the plane flies with the wind, the total speed will be

Sp + Sw = 251km/h.

When the plane flies against the wind, the total speed will be:

Sp - Sw = 219km/h.

Then we have two equations:

Sp + Sw = 251km/h

Sp - Sw =  219km/h.

We want to find the speed of the wind, so we should isolate the speed of the plane in one of the equations, let's isolate it in the second equation:

Sp = 219km/h + Sw.

Now we can replace this into the other equation:

Sp + Sw = 251km/h.

(219km/h + Sw) + Sw = 251km/h.

2*Sw + 219km/h = 251km/h

2*Sw = 251km/h - 219km/h = 32km/h

Sw = (32km/h)/2 = 16km/h.

This is really close to the option B, but is not equal, so the correct answer will be D, none of the above.

can you please help me :)

Answers

Answer:

0; 3; 9.

Step-by-step explanation:

If x=20 then y=0.5x20-10 so: 20x0.5=10 10-10=0

If x=26 then y=0.5x26-10 so: 26x0.5=13 13-10=3

If x=38 then y=0.5x38-10 so: 38x0.5=19 19-10=9

Find the midpoint m of z1= (7 + 2i) and z2= (1 + 5i).

Answers

Answer:

the mid

Step-by-step explanation:

(-1.5, -5)

X is less than 9 and greater then or equal to -3
Write in inequality

Answers

The answer will be
9>x>=-3

Find the error in the student's calculation. 2 cubed (2 minus 4) + 5 (3 minus 8). 2 cubed (negative 2) + 5 (5). 8 (negative 2) + 25. Negative 16 + 25. 9.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the question:

Find the error in the student's calculation. 2 cubed (2 minus 4) + 5 (3 minus 8). 2 cubed (negative 2) + 5 (5). 8 (negative 2) + 25. Negative 16 + 25. 9.

The student's error occurred here :

2 cubed (negative 2) + 5 (5)

(3 - 8) will give - 5 and not 5 as Witten by the student. The correct working is stated below :

2³(2 - 4) + 5(3 - 8)

Step 1:

8(-2) + 5(-5)

Step 2:

-16 + - 25

Step 3:

-41

Answer:

The answer is B

Step-by-step explanation:

What is the answer to 3x2 4x3y 5y2 =

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{60 {x}^{5} {y}^{3}}}}}} [/tex]

Step-by-step explanation:

[tex] \sf{3 {x}^{2} \times 4 {x}^{3} y \times 5 {y}^{2} }[/tex]

Multiply the numbers and variables separately

[tex] \longrightarrow{ \sf{(3 \times 4 \times 5) \times {x}^{2} \times {x}^{3} \times y \times {y}^{2} }}[/tex]

[tex] \longrightarrow{ \sf{60 \times {x}^{2} \times {x}^{3} \times y \times {y}^{2} }}[/tex]

Add the powers of the variables with same base

[tex] \longrightarrow{ \sf{60 \times {x}^{2 + 3} \times {y}^{1 + 2}}} [/tex]

[tex] \longrightarrow{ \sf{60 {x}^{5} {y}^{3} }}[/tex]

Hope I helped!

Best regards! :D

simplify (x^2/5)^3/7

Answers

Simplified: x^6/125

What is 2/5 divided by 1/6 HELPPPPP

Answers

Answer: 2.4 as a decimal or 12/5 in fraction form

a store is having a clearance special in every item is 30% off what is the sale price of the $320 suit​

Answers

Answer:

It's 224

Step-by-step explanation:

She will save 96.00

Answer:

224

Step-by-step explanation:

and she would save like 96.00

Grapes cost $4.99 for 4 pounds at the supermarket.They 6.99 for 6 pounds at food mart.Witch store has a better deal?

Answers

Answer:

The grapes at the food mart are cheapest.

Step-by-step explanation:

First, you need to find out the cost for just one pound of grapes. You take $4.99 and divide it by 4 (the number of pounds) to get about $1.25 per pound from the supermarket. Now you do the same thing for the food mart. $6.99 divided by 6 is about $1.17. Therefore, the grapes at the food mart are cheaper.

Hope this helps!

What is 1.8 times 10 to the power of 14?

Answers

Answer:

1.8×(10^14)=123 I guess

ss google said it

Is this right? I just need to make sure. :)

Answers

Answer:

Yes, you are 100% correct! Good job!!!

Step-by-step explanation:

Answer: B

Step-by-step explanation:

To solve this problem, we need to understand y-intercepts and slope.

Looking at the problem, we can automatically eliminate C and D. The graph has a negative slope because it is going down.

Now, let's look at the y-intercept. We see that the graph passes the y-axis at 1. Therefore, B is the correct answer.

4. Ayla purchased two pairs of jeans for $30.50 and a shirt for $20.75. She paid with a one hundred dollar bill
How much change will Ayla get back?
851.25
$48.75
$81.75
$18.25

Answers

She will receive $48.75 back.

Answer:

i believe its $48.75

Step-by-step explanation:

I didn't know if each pair of jean was 30.50 each. I just did 30.50 + 20.75 to get 51. 25. Then i subtracted that from 100, 100- 51.25, to get 48.75

What are the rules for right triangles??

Answers

Answer:

The Pythagorean theorem states that: In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle)

Step-by-step explanation:

hey guys.How are u all

Answers

Answer:

We are Fine .........do u wanna chat with me

square root 27 minus square root 3

Answers

Answer:

3.46410161514

Step-by-step explanation:

the square root of 27 = 5.19615242271

and the square root of 3 = 1.73205080757

5.19615242271 - 1.73205080757 = 3.46410161514

hope this help

plz mark brainlest

Find the mean absolute deviation of the set of data. 2, 4, 4, 6, 8? PLEASE NOW

Answers

Answer:

1.76

Step-by-step explanation:

The mean absolute deviation of the set of data. 2, 4, 4, 6, 8 is 1.76.

How to calculate the mean absolute deviation?

Firstly, we need to calculate the mean of the numbers. This will be:

= (2 + 4 + 4 + 6 + 8)/5

= 24/5

= 4.8

The absolute deviation from the mean will be:

= (2.8, 0.8, 0.8, 1.2, 3.2).

Therefore, mean absolute deviation of the set of data will be:

= (2.8 + 0.8 + 0.8 + 1.2 + 3.2)/5

= 1.76

Learn more about mean on:

https://brainly.com/question/1136789

#SPJ2

a jar is filled with 1000 jelly beans . A random sample of 15 is taken from the jar and it is found to contain 2 black , 4 green , 6 red , and the rest orange . Of the 1000 jelly beans in the jar. The expected number of black jelly beans and orange jelly beans respectively be :
A. 267,200
B. 257,300
C. 133,300
D. 133, 200​

Answers

the answer to this would be d

The answer would be B. 257,300

Write an expression for the sequence of operations described below. add 6 and u, then triple the result Do not simplify any part of the expression. ( u + 6 )

Answers

Answer:

3u + 18

Step-by-step explanation:

  ( u + 6 )

3 ( u + 6 )

Distribute:

( 3u + 18)

3$95 because its alot
Other Questions
Simplify the following expression. Fill in the blank with the correct present tense form of the verb in parenthesis.El beb _____ (dormir) ocho horas cada noche.A. dormaB. duermeC. dormeD. duermo Which of these will have the same units if acceleration is multiplied by time? Force Time velocity Pressure Plz help ASAP I need to get this done Which of the following Greek city-states supported the Ionian rebellion against the Persians? A. Sparta B. Thebes C. Athens D. Corinth Simplify by combining like terms. 6r+3s+2s+4r What Is the variable that stay the same in experiment what sound causes the narrator to hasten or rush the murder of the old man? in the tell-tale heart by edgar allan poe 4. What is the prime factorization of 610? -41-32 find the sum or difference or product 1. Qu es la diglosia? Es diglosia lo mismo que bilingismo? Workers gave the park bench a fresh coat of paint removing all of the gum. Identify the verbs Are the two triangles similar? If so, state the reason and the similarity statement. 7x + (9x + 8) = (7x + 9x) + 8 is what property Greg can drive 160 miles with 5 gallons of gas how many miles can he drive on one gallon of gas what property is 8a+4=4+8a Which describes any substance that shatters or breaks easily?malleablebrittlevolatileductile Connotation isA)the suggested meaning of a word.B)the dictionary definition of a word.C)the opposite meaning of a word.D)the least common meaning of a word. is 0.19 rational or irrational? What are two income security programs administered by the federal government?