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=−4 Find a possible formula for P(x).

Answer 1

A polynomial with roots a, b, c, d, and e has equation:
(x - a)(x - b)(x - c)(x - d)(x - e) = 0

Answer 2

A root at x = 3 with multiplicity 2 means two roots x = 3.
That means in this example, a = 3, b = 3, c = 0, d = 0, and e = -4
Plug those in and multiply it out.