10
QuizMultiple Choice

Factoring Polynomials: Double Grouping

Question 10 • Common Core Algebra I B-IC

Which shows one way to determine the factors of x3 + 11x2 – 3x – 33 by grouping?

Answer
A
x2(x + 11) + 3(x – 11)
B
x2(x – 11) – 3(x – 11)
C
x2(x + 11) + 3(x + 11)
D
x2(x + 11) – 3(x + 11)

Explanation

Group the first two terms and the last two terms: (x³ + 11x²) + (−3x − 33). Factoring each group gives x²(x + 11) − 3(x + 11), which matches choice D.

AI-written and checked against the verified answer.