find a formula for p(x)

Question

The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=5 and a root of multiplicity 1 at x=−5. The y-intercept is y=−87.5.

Find a formula for P(x)

Answer 1

The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=5 and a root of multiplicity 1 at x=−5. The y-intercept is y=−87.5

p(x) = a(x-5)^2(x+5). Now try to find a