4
QuizMultiple Choice

Factoring Polynomials: Double Grouping — Cumulative exam

Question 4 • Common Core Algebra I B-IC

Which expression is equivalent to 7a2b + 10a2b2 + 14a2b3?

Answer
A
ab(7a2 + 10ab + 14b2)
B
a2b(7 + 10b + 14b2)
C
7a2(b + 3b2 + 7b3)
D
7a2b3(b2 + 3b + 7)

Explanation

The greatest common factor of 7a²b, 10a²b², and 14a²b³ is a²b. Factoring it out leaves 7, 10b, and 14b², so the expression becomes a²b(7 + 10b + 14b²). This matches choice B.

AI-written and checked against the verified answer.

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