Select the correct product. (x^2 + 4x + 8)(2x - 1) A. 2x^3 + 7x^2 + 12x - 8 B. 2x^3 - 7x^2 - 12x - 8 C. x^2 + 6x + 7 D. x^2 + 8x - 8

asked Nov 18, 2020 39.5k views

4 votes

Select the correct product.

(x^2 + 4x + 8)(2x - 1)

A. 2x^3 + 7x^2 + 12x - 8

B. 2x^3 - 7x^2 - 12x - 8

C. x^2 + 6x + 7

D. x^2 + 8x - 8

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4 votes

Answer:

Option A.
2x^(3)+7x^(2)+12x-8

Explanation:

we have

(x^(2)+4x+8)(2x-1)

Applying the distributive property

$(x^(2)+4x+8)(2x-1) =x^(2)(2x)-x^(2) +4x(2x)-4x+8(2x)-8\\ \\=2x^(3)-x^(2) +8x^(2)-4x+16x-8\\ \\= 2x^(3)+7x^(2)+12x-8$

EJK answered Nov 22, 2020

by EJK

7.9k points

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