Quiz about Dividing Polynomials

Question 1

Which would be better to use here?

Accepted Answer

Synthetic division

Answer

Long division

Question 2

For synthetic division, what would be the number in the left hand box?

Accepted Answer

2

Answer

0

Answer

1

Answer

3

Question 3

Divide (x³+ 3x²- 4x - 12) by (x²+ x - 6)

Accepted Answer

x + 2

Answer

x - 2

Answer

x5 + 6

Answer

x2 + 2

Question 4

The area of a rectangular pool table is: x² + 14x +40.

The length is x + 4. What is the width?

Accepted Answer

x + 10

Answer

x + 8

Answer

x + 14

Answer

x +4

Question 5

Is this division problem worked correctly?

Accepted Answer

This is incorrect!

Answer

This is correct!

Question 6

$$\left(4x^4-8x^3-3x^2+7x-2\right)\div\left(2x-1\right)$$

Use long division to evaluate

Accepted Answer

$$2x^3-3x^2-3x+2$$

Answer

$$2x^3+3x^2+3x+2$$

Answer

$$2x^3-3x^2-3x-2$$

Answer

$$2x^3+2$$

Question 7

Is (x-2) a factor of f(x)= x³-8x²+14x-4?

Accepted Answer

Yes, (x-2) is a factor. The remainder is zero.

Answer

Yes, (x-2) is a factor. There is a remainder.

Answer

No, (x-2) is  not a factor. The remainder is zero.

Answer

No, (x-2) is  not a factor. There is a remainder.

Question 8

What is the remainder when a³ - 4 is divided by a+2?

Accepted Answer

-12

Answer

-2

Answer

-6

Answer

0

Question 9

What should be the order of the polynomial coefficients if
(3x - 4x³ + 6x⁴ + 1) / (x + 3)

Accepted Answer

6   -4   0   3   1

Answer

3   0   -4   6   1

Answer

6   -4   3   1   0

Answer

-6   4   0   -3   -1

Question 10

What is the proper way to write the answer for the following problem?

Accepted Answer

2x³-x²-25x-12

Answer

2x³-x²-25x+12

Answer

2x⁴-x³-25x²-12x+0

Answer

2x⁴-x³-25x²-12x-0

Question 11

Synthetic Division only uses the ____________ of a polynomial to divide.

Accepted Answer

Numbers (coefficients)

Answer

Terms

Answer

Variables

Answer

Numbers and letters

Question 12

Which would be better to use?

Accepted Answer

Long division

Answer

Synthetic division

Question 13

James divided (x⁴ + 3x² - 4x - 2) by factor of (x-2) using synthetic division. His work is shown above. Which best describes his mistake?

Accepted Answer

James did not use a zero place holder for the x³ term.

Answer

James wrote the remainder incorrectly.

Answer

James added instead of subtracting the rows.

Answer

James should have used -2 as his division since the factor was x-2.

Question 14

Question 14.

Accepted Answer

x - 7

Answer

x2 - 7

Answer

x + 7

Answer

x²+ 3x - 54

Question 15

If you were dividing x⁶ + 4x³ + 2, how many 0's would you need when setting up the top row of your synthetic division?

Accepted Answer

4

Answer

0

Answer

2

Answer

6

Question 16

Divide:

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

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