# How do you factor #x^3-8x^2+17x-10#?

##### 1 Answer

Apr 10, 2015

Polynomials of degree

One trick is to hope for an integer solution.

If an integer solution exists the constant term in the factors must be one of the factors of the constant term of the expression.

In this case the factors of

Substituting

gives

so

Using synthetic division to divide

we get

(sorry I can't see any way to neatly demonstrate synthetic division here)

with obvious factors

So

Late addition: Here is an image to help explain the synthetic division