6
AssignmentMultiple Choice

Factoring Polynomials: GCF

Question 6 • Common Core Algebra I B-IC

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

Answer
A
22x3
B
24x2y
C
26x2y
D
28y3

Explanation

The first two terms, 20x²y and 56x³, have a greatest common factor of 4x². The mystery term must also be divisible by 4x² without making the shared factor larger. The term 24x²y meets this condition: the coefficient GCF stays 4, and 56x³ has no y, so y is not part of the GCF. Thus, the mystery term could be 24x²y.

AI-written and checked against the verified answer.

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