7
lesson pretestMultiple Choice

Pretest

Question 7 • Algebra 1

Which shows one way to determine the factors of x cubed plus 4 x squared plus 5 x plus 20 by grouping?

Answer
A
x squared times open paren x plus 4 close paren plus 5 times open paren x plus 4 close paren
B
x times open paren x squared plus 5 close paren plus 4 x open paren x squared plus 5 close paren
C
x times open paren x squared plus 4 close paren plus 5 times open paren x squared plus 4 close paren
D
x squared times open paren x plus 5 close paren plus 4 times open paren x plus 5 close paren

Explanation

Group the polynomial as (x³ + 4x²) + (5x + 20). Factoring each group gives x²(x + 4) + 5(x + 4), which matches the choice with x² times (x + 4) plus 5 times (x + 4). The repeated binomial can then be factored out to get (x + 4)(x² + 5).

AI-written and checked against the verified answer.

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