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

Question

The polynomial of degree 5,  has leading coefficient 1, has roots of multiplicity 2 at  and , and a root of multiplicity 1 at  Find a possible formula for . 

Answer 1

P(x)=x²(x-1)²(x+3)