polynomial of degree

Question

The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=2 and a root of multiplicity 1 at x=−5x. The y-intercept is y=−2.

Find a formula for P(x).

P(x)=?

Answer 1

P(x) = a(x - 2)²(x + 5)

P(0) = -2

Can you substitute 0 and calcualte a and answer?