17
QuizMultiple Choice

Factoring Trinomials: a > 1 — Unit test

Question 17 • FL-1200700-Mathematics for College Algebra MIS

Which shows one way to determine the factors of 4x3 + x2 – 8x – 2 by grouping?

Answer
A
x2(4x + 1) – 2(4x + 1)
B
x2(4x – 1) + 2(4x – 1)
C
4x2(x + 2) – 1(x + 2)
D
4x2(x – 2) – 1(x – 2)

Explanation

Group the first two terms and the last two terms: (4x³ + x²) + (−8x − 2). Factoring each group gives x²(4x + 1) − 2(4x + 1), which is choice A because both groups have the common factor (4x + 1).

AI-written and checked against the verified answer.

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