24
lesson pretestMultiple Choice

Pretest

Question 24 • Algebra II

What is the product? open paren 3 x minus 6 close paren times open paren 2 x squared minus 7 x plus 1 close paren

Answer
A
6 x cubed minus 33 x squared plus 45 x minus 6
B
negative 12 x squared plus 42 x minus 6
C
6 x cubed minus 27 x squared minus 39 x plus 6
D
negative 12 x squared plus 21 x plus 6

Explanation

Distribute each term: 3x(2x² − 7x + 1) = 6x³ − 21x² + 3x, and −6(2x² − 7x + 1) = −12x² + 42x − 6. Combine like terms to get 6x³ − 33x² + 45x − 6, which is choice A.

AI-written and checked against the verified answer.

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