Find a formula for P(x).

Question

 The polynomial of degree 3, , has a root of multiplicity 2 at x=1 and a root of multiplicity 1 at x=-1. The y-intercept is -0.2

Answer 1

P(x) = k( x-1)^2 (x+1)

P(0) = -0.2

-0.2 = k(-1)^2 (1) ---> k = -0.2

P(x) = -0.2(x-1)^2 (x+1)