AnswersCommon Core Algebra I B-ICFactoring Polynomials: GCF

Factoring Polynomials: GCF Answers

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3

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

Question illustration
A
Option A
Option A
B
Option B
Option B
C
Option C
Option C
D
Option D
Option D
E
Option E
Option E
4

Question text not available

Answer not available
5

Which statements are true about the polynomial 28vw + 49v + 35w? Check all that apply.

A
The coefficients have no common factors other than 1.
B
There are no common variables among all three terms.
C
The GCF of the polynomial is 7v.
D
Each term written as the product, where one factor is the GCF, is 7(28vw) + 7(49v) + 35(w).
E
The resulting expression when factoring out the GCF is 7(4vw + 7v + 5w).
7

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

A
13(2r3s + 4r5 – 3r2s4)
B
13r2s(2r + 4r3 – 3s3)
C
13r2(2rs + 4r3 – 3s4)
D
13r2(26r3s + 52r5 – 39r2s4)
8

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

A
The GCF of the coefficients is correct.
B
The GCF of the variable b should be b4 instead of b2.
C
The variable c is not common to all terms, so a power of c should not have been factored out.
D
The expression in step 5 is equivalent to the given polynomial.
E
In step 6, David applied the distributive property.

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