Factoring Polynomials: Sum and Difference of Cubes

Question 1

The GCF for each term of the polynomial is .

Revolt · Accepted Answer

2

Question 2

There are terms to be factored.

Revolt · Accepted Answer

3

Question 3

The product of prime polynomials is .

Revolt · Accepted Answer

2(x + 2)(x – 1)

Question 4

Is there a GCF > 1 for the two terms?

Revolt · Accepted Answer

Yes, it is 4.

Question 5

Which product of prime polynomials is equivalent to the original polynomial?

Revolt · Accepted Answer

(–2 + 5x)(x – 1)(x + 1)

Question 6

Factor the polynomial completely.12x4 – 42x3 – 90x2 What is the GCF of the polynomial?

Revolt · Accepted Answer

6x2

Question 7

What is the equivalent factored form of 12x4 – 42x3 – 90x2?

Revolt · Accepted Answer

6x2(x – 5)(2x + 3)

Question 8

Which polynomials are prime? Check all that apply. x2 + 4x2 – 5x + 2x2 + 10x – 24 x2 – x + 27 2x3 – 4x + 5x2 – 10

Revolt · Accepted Answer

x2 + 4; x2 – 5x + 2; x2 – x + 27

Question 9

The completely factored form of this polynomial is (x2 + 2x + 4).

Revolt · Accepted Answer

4(x – 2)

Factoring Polynomials: Sum and Difference of Cubes Answers