# The polynomial of degree 4, P(x) has a root multiplicity 2 at x=4 and roots multiplicity 1 at x=0 and x=-4 and it goes through the point (5, 18) how do you find a formula for p(x)?

##### 1 Answer

Oct 27, 2016

The polynomial is

#### Explanation:

If the polynomial has a root of multiplicity 2 at

is a factor

Multiplicity 1 at

Multiplicity 1 at

So

As it pases through

So

The polynomial is