the polynomial of degree 3, P(x), has a root of multiplicity 2 at x=2 and a root of multiplicity of 1 at x=-5. the Y intercept is Y=-8

Answer 1

You did not state a question, but I assume you want to find a polynomial that satisfies the stated conditions.

P(x) = A(x - 2)²(x + 5)

P(0) = -8 ⇒

A(-2)²(5) = -8

20A = -8

A = -8/20 = -2/5

P(x) = -(2/5)(x - 2)²(x + 5)