The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x=3 and x=0, and a root of multiplicity 1 at x=-5

Question

The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x=3 and x=0, and a root of multiplicity 1 at x=-5
Find a possible formula for P(x)

oobleck · Accepted Answer

Recall that is x=a is a root, then (x-a) is a factor P(x) = x^2 * (x-3)^2 * (x+5)