7
AssignmentMultiple Choice

Factoring Polynomials: GCF

Question 7 • Common Core Algebra I B-IC

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

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

Explanation

The greatest common factor of the terms is 13r²: the coefficients share 13, and each term contains at least r². Dividing each term by 13r² gives 2rs, 4r³, and −3s⁴, so the factored expression is 13r²(2rs + 4r³ − 3s⁴). Choice C matches.

AI-written and checked against the verified answer.

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