4
QuizMultiple Choice

Factoring Polynomials: Double Grouping — Unit test

Question 4 • Common Core Algebra I B-IC

Which product will result in a sum or difference of cubes?

Answer
A
(x + 7)(x2 – 7x + 14)
B
(x + 8)(x2 + 8x + 64)
C
(x – 9)(x2 + 9x + 81)
D
(x – 10)(x2 – 10x + 100)

Explanation

A difference of cubes factors as (a − b)(a² + ab + b²). Choice C matches this pattern with a = x and b = 9: (x − 9)(x² + 9x + 81) = x³ − 9³ = x³ − 729, a difference of cubes.

AI-written and checked against the verified answer.

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