# How do you factor #x^5+x^3+x^2+1#?

##### 1 Answer

Apr 17, 2015

Since

an obvious "solution" (if we pretend this expression

is

Therefore one of the factors is

Using synthetic division

yields the factors

Again for

we have an obvious solution,

So

Using synthetic division again

gives the factors

Once again

has an obvious solution

which leads to factors

The complete factorization is