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

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Answer 1 · 2018-03-16T11:25:20

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

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! :)

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