Factoring Polynomials: GCF

Question 1

What is the GCF of h4 and h8?

Revolt · Accepted Answer

B: h4

Question 2

What is the GCF of 44j5k4 and 121j2k6?

Revolt · Accepted Answer

D: 11j2k4

Question 3

Which of the following terms have a GCF of ? Select two options.

Revolt · Accepted Answer

A: ; D:

Question 4

What is the factored form of the polynomial 27x2y – 43xy2?

Revolt · Accepted Answer

A: xy(27x – 43y)

Question 5

Which statements are true about the polynomial 28vw + 49v + 35w? Check all that apply.The coefficients have no common factors other than 1.There are no common variables among all three terms.The GCF of the polynomial is 7v.Each term written as the product, where one factor is the GCF, is 7(28vw) + 7(49v) + 35(w).The resulting expression when factoring out the GCF is 7(4vw + 7v + 5w).

Revolt · Accepted Answer

B: There are no common variables among all three terms.; E: The resulting expression when factoring out the GCF is 7(4vw + 7v + 5w).

Question 6

4x2 is the GCF of this polynomial.20x2y + 56x3 – ?Which could be the mystery term?

Revolt · Accepted Answer

B: 24x2y

Question 7

Factor 26r3s + 52r5 – 39r2s4. What is the resulting expression?

Revolt · Accepted Answer

C: 13r2(2rs + 4r3 – 3s4)

Question 8

Which statements are true about David’s work? Check all that apply.

Revolt · Accepted Answer

A: The GCF of the coefficients is correct.; C: The variable c is not common to all terms, so a power of c should not have been factored out.; E: In step 6, David applied the distributive property.

Question 9

Joan is building a sandbox in the shape of a regular pentagon. The perimeter of the pentagon is 35y4 – 65x3 inches. What is the length of one side of the sandbox?

Revolt · Accepted Answer

D: 7y4 – 13x3 inches

Question 10

Isiah determined that 5a2 is the GCF of the polynomial a3 – 25a2b5 – 35b4. Is he correct? Explain.

Revolt · Accepted Answer

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Factoring Polynomials: GCF Answers

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