Question

PLEASE HELP ME use long division to find the quotient

Answer 1

A.) 8x^2 + 18x + 36

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)(4x^3+x^2-36)/(x-2)\\=4x^2+(9x^2-36)/(x-2)\\=4x^2+9x+(18x-36)/(x-2)\\=4x^2+9x+18`

`=2\left(x-2\right)\left(4x^2+9x+18\right)\\=(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

`8x^2 + 18x + 36`

Explanation:

I did it on paper.