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

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- Mar 21st 2010, 12:55 PMiluvmath2factor 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 - Mar 21st 2010, 01:08 PMpickslides
To factor this completely first look for a common factor

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

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

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

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