7
QuizMultiple Choice

Factoring Polynomials: Double Grouping

Question 7 • Common Core Algebra I B-IC

Factor x3 + x2 + x + 1 by grouping. What is the resulting expression?

Answer
A
(x2)(x + 1)
B
(x2 + 1)(x)
C
(x2 + 1)(x + 1)
D
(x3 + 1)(x + 1)

Explanation

Group the terms in pairs: (x³ + x²) + (x + 1). Factor each pair to get x²(x + 1) + 1(x + 1), then factor out the common binomial (x + 1), giving (x² + 1)(x + 1).

AI-written and checked against the verified answer.

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