PRECALC QUESTION

Question

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

Find a possible formula for P(x)P(x). 

Answer 1

I think Mark means P(x) = (x - 3)²x²(x + 3)

which is same as P(x)=(x²-9)(x³-3x²)=x⁵-3x⁴-9x³+27x²

Answer 2

P(x) = (x - 2)²x²(x + 3)