Factoring Polynomials Completely

Question 1

Which polynomials are prime? Check all that apply.

Revolt · Accepted Answer

A: 2x2+ 7x + 1; C: 3x2 + 8; E: x2 + 36

Question 2

Factor the polynomial completely.4x3 – 12x2 + 7x – 214x2(x – 3) + 7(x – 3)Which is the completely factored polynomial?

Revolt · Accepted Answer

D: (4x2 + 7)(x – 3)

Question 3

Completely factor the polynomial 8x2 – 24x + 20x – 60.

Revolt · Accepted Answer

D: 4(x – 3)(2x + 5)

Question 4

Which product of prime polynomials is equivalent to 30x3 – 5x2 – 60x?

Revolt · Accepted Answer

C: 5x(2x – 3)(3x + 4)

Question 5

Which are the prime factors of the polynomial 24x4 – 3x? Check all that apply. 2x3x(4x2 + 1)(2x – 1)(x – 1)(4x2 + 2x + 1)(2x2 – 2x + 1)

Revolt · Accepted Answer

B: 3x; D: (2x – 1); F: (4x2 + 2x + 1)

Question 6

Determine the GCF for each of the polynomials.

Revolt · Accepted Answer

The GCF is .: 11; The GCF is .: 8x

Question 7

Determine the GCF for each of the polynomials. 2x3 – 7x2 + 3x The GCF is . 33x4 – 22 The GCF is . 24x5 – 56x3 + 16x The GCF is .

Revolt · Accepted Answer

C: x

Question 8

x3✔ 1111x

Revolt · Accepted Answer

C: 11

Question 9

2x4x6x✔ 8x

Revolt · Accepted Answer

D: 8x

Question 10

Consider the polynomial 6x2 – 8x + 2. What is the GCF of the polynomial? What is the equivalent factored form of the polynomial?

Revolt · Accepted Answer

B: 2

Factoring Polynomials Completely Answers