Dividing Polynomials: Long Division and Synthetic Methods

Dividing Polynomials: Long Division and Synthetic Methods

Assessment

Interactive Video

Created by

Amelia Wright

Mathematics

8th - 12th Grade

Hard

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in dividing polynomials using long division?

Multiply the divisor by the dividend

Subtract the divisor from the dividend

Add the divisor to the dividend

Ask what to multiply the divisor by to get the leading term of the dividend

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the first example, what is the remainder when 2n^2 - 16n + 19 is divided by n - 7?

5

0

-5

7

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the second example, what is the leading term of the quotient when k^3 - 17k + 32 is divided by k + 5?

k^2

k

5k

k^3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the remainder when k^3 - 17k + 32 is divided by k + 5?

5

0

-8

8

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the third example, what indicates that x - 2 is a factor of x^4 - 16?

The dividend is a factor

The divisor is a factor

The remainder is zero

The quotient is a polynomial

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in synthetic division?

Add the divisor to the dividend

Subtract the divisor from the dividend

List the coefficients of the polynomial

Multiply the divisor by the dividend

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In synthetic division, what do you do after listing the coefficients?

Add the divisor to the first coefficient

Multiply the divisor by the first coefficient

Bring down the first coefficient

Subtract the divisor from the first coefficient

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the remainder when x^2 + 3x - 43 is divided by x + 8 using synthetic division?

5

0

3

-3

9.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

According to the Remainder Theorem, what is P(3) for the polynomial x^4 + 0x^3 - 2x^2 - x + 122?

60

122

182

21

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the Remainder Theorem state about the remainder of a polynomial division?

It is always zero

It is equal to the value of the polynomial at the divisor

It is always positive

It is equal to the leading coefficient

Explore all questions with a free account

or continue with
Microsoft
Apple
Others
By signing up, you agree to our Terms of Service & Privacy Policy
Already have an account?