Answer:
A.) 8x^2 + 18x + 36
Step-by-step explanation:
Use these steps to see how exactly I arrived at my answer!
[tex]=8x^3+2x^2-72\\=2\cdot \:4x^3+2x^2-2\cdot \:36\\=2\left(4x^3+x^2-36\right)\\[/tex]
[tex]=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[/tex]
[tex]=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}[/tex]
Between these steps, I canceled out a common factor!
[tex]=2\left(4x^2+9x+18\right)\\= 8x^2+18x+36[/tex]
