# How do you find all the zeros of #x^3-6x^2+13x-10# with its multiplicities?

##### 1 Answer

Apr 17, 2016

#### Answer:

#### Explanation:

Explanation:

We will use the Rational Root Theorem:

If the rational number r/s is a root of a polynomial whose coefficients are integers, then the integer r is a factor of the constant term, and the integer s is a factor of the leading coefficient.

So, the candidates for roots are:

We discover than 2 is a root.

Now we divide the polymorph by (x-2) to discover the other roots:

This second degree polynom is solved with the quadratic formula: