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QuizMultiple Choice

Factoring Polynomials: Double Grouping

Question 1 • Common Core Algebra I B-IC

Which shows one way to determine the factors of x3 – 12x2 – 2x + 24 by grouping?

Answer
A
x(x2 – 12) + 2(x2 – 12)
B
x(x2 – 12) – 2(x2 – 12)
C
x2(x – 12) + 2(x – 12)
D
x2(x – 12) – 2(x – 12)

Explanation

Group the first two terms and the last two terms: (x³ − 12x²) + (−2x + 24). Factor each group to get x²(x − 12) − 2(x − 12), which matches x²(x − 12) − 2(x − 12).

AI-written and checked against the verified answer.

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