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

##### 1 Answer

May 26, 2016

Such a polynomial does not exist

#### Explanation:

The conditions of leading coefficient 1, roots multiplicity 2 at

but this polynomial verifies