# How do you factor completely #t^3+t^2-22t-40#?

##### 1 Answer

Mar 2, 2017

#### Explanation:

Using the Rational Root Theorem, the possible roots of the given polynomial are contained in the set:

Evaluating the given polynomial for each possible root (I chose to use a spread sheet to do this; see below)

we can determine the roots:

which implies the factors: