formula for P(x)

[moronatmath]

Can someone please help me with this problem?

The polynomial of degree 4, P(x) has a root of multiplicity 2 at x=2 and roots of multiplicity 1 at x=0 and x=-4. It goes through the point (5,283.5).
Find a formula for P(x).
P(x) =

 

[daveyp225]

If P(x) has a multiplicity of 2 for a root x=2, then you have 2 of the 4 roots necessesary. (x-2) and (x-2). or (x-2)^2

You also know that x and (x+4) are roots becuase 0 and -4 are zeros.

Also, you know that if P(x) is a factorable polynomial of power 4 that it can be written as a product of 4 roots. You should be able to take it from here...