15
QuizMultiple Choice

Factoring Polynomials: Double Grouping

Question 15 • Common Core Algebra I B-IC

The polynomial 10x3 + 35x2 − 4x − 14 is factored by grouping. 10x3 + 35x2 − 4x − 145x2(____) − 2(____)What is the common factor that is missing from both sets of parentheses?

Answer
A
−2x − 7
B
2x + 7
C
−2x2 + 7
D
2x2 + 7

Explanation

Group the polynomial as (10x³ + 35x²) + (−4x − 14). Factoring each group gives 5x²(2x + 7) − 2(2x + 7), so the common factor inside both sets of parentheses is 2x + 7, choice B.

AI-written and checked against the verified answer.

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