# Math Help - how to find the leading coefficient

1. ## how to find the leading coefficient

A Polynomial P(x) of degree 4 has a zero of multiplicity two at x=-3, zeros at x=-1 and at x=2 and P(-2)=-3. Determine P(x).

How do I find the leading coefficient. So far I have
P(x)=a(x+3)^2(x+1)(x-2)

any help would be great, thanks.

2. $P(-2)=-3\Rightarrow a(-2+3)^2(-2+1)(-2-2)=-3$

Can you continue?

3. oh I see, thanks a lot!