Question

PLEASE HELP ME use long division to find the quotient

Answer 1

Answer:

A.) 8x^2 + 18x  + 36

Step-by-step explanation:

Use these steps to see how exactly I arrived at my answer!

$=8x^3+2x^2-72\\=2\cdot \:4x^3+2x^2-2\cdot \:36\\=2\left(4x^3+x^2-36\right)$

$=4x^3+x^2-36\\=\left(x-2\right)\frac{4x^3+x^2-36}{x-2}\\=4x^2+\frac{9x^2-36}{x-2}\\=4x^2+9x+\frac{18x-36}{x-2}\\=4x^2+9x+18$

$=2\left(x-2\right)\left(4x^2+9x+18\right)\\=\frac{2\left(x-2\right)\left(4x^2+9x+18\right)}{x-2}$

Between these steps, I canceled out a common factor!

$=2\left(4x^2+9x+18\right)\\= 8x^2+18x+36$

Answer 2

Answer:

$8x^2 + 18x + 36$

Step-by-step explanation:

I did it on paper.