7
QuizMultiple Choice

Polynomial Expressions — Test

Question 7 • Algebra 1

Which shows one way to determine the factors of 4 x cubed plus x squared minus 8 x minus 2 by grouping?

Answer
A
x squared times open paren 4 x minus 1 close paren plus 2 times open paren 4 x minus 1 close paren
B
4 x squared open paren x minus 2 close paren minus 1 times open paren x minus 2 close paren
C
x squared times open paren 4 x plus 1 close paren minus 2 times open paren 4 x plus 1 close paren
D
4 x squared open paren x plus 2 close paren minus 1 times open paren x plus 2 close paren

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 matches choice A. The shared binomial is (4x + 1).

AI-written and checked against the verified answer.

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