# What is a polynomial function with the roots -1, 2, and 3?

Sep 20, 2015

It is a cubic IE.(it has 3 roots)

(x+1)(x-2)(x-3)

#### Explanation:

Lets define a cubic;

3 ROOTS$\to \alpha , \beta , \gamma$

So we can say that a cubic is

$\left(x - \alpha\right) \left(x - \beta\right) \left(x - \gamma\right)$

We are given ;
$\alpha = - 1 , \beta = 2 , \gamma = 3$

Finally substituting;

We get our cubic function to be
$f \left(x\right) = \left(x + 1\right) \left(x - 2\right) \left(x - 3\right)$