Question

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

Answer 1

Answer:

Option A. $2x^{3}+7x^{2}+12x-8$

Step-by-step explanation:

we have

$(x^{2}+4x+8)(2x-1)$

Applying the distributive property

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