Is it possible to factor y=x^5+2x^4+x^3 ? If so, what are the factors?

Dec 24, 2015

Yes. Factors are $x$ and $\left(x + 1\right)$
First extract the common factor of ${x}^{3}$
$y = {x}^{3} \left({x}^{2} + 2 x + 1\right)$
Then use the fact that $\left(x + a\right) \left(x + b\right)$ gives $\left({x}^{2} + \left(a + b\right) x + a b\right)$ to find the values of a and b.
$y = {x}^{3} {\left(x + 1\right)}^{2}$