# Can y=x^4 + 2x^3 + 216x + 432  be factored? If so what are the factors ?

Mar 16, 2018

color(magenta)(=(x^3+216)(x+2)

#### Explanation:

Yes, ${x}^{4} + 2 {x}^{3} + 216 x + 432$ can be factorized in the following way :

Let's group the 1st 2 terms together & the 2nd 2 together. Then, take out the common factors.

$= {x}^{3} \left(x + 2\right) + 216 \left(x + 2\right)$

color(magenta)(=(x^3+216)(x+2)

~Hope this helps! :)