# Thread: factor polynomial and state the multiplicity

1. ## factor polynomial and state the multiplicity

how do i factor this completely to find the zeros and then state the multiplcity of each zero??

p(x)= x^3-x^2+x

2. To factor this completely first look for a common factor

$p(x)= x^3-x^2+x$

$x$ is common to all terms, taking that out gives.

$p(x)= x(x^2-x+1)$

The remaining expression cannot be factored $\in \mathbb{R}$