Question

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

Answer 1

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

Explanation:

Yes, `x^4+2x^3+216x+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(x+2)+216(x+2)`

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

~Hope this helps! :)