The polynomial of degree 3, P(x), has a root of multiplicity at x=1 and a root of multiplicity 1 at x=-5. the y intercept is y= "-2.5." find a formula for P(x)

Answer 1

P(x) = a(x-1)^2(x+5) = a(x^2-2x+1)(x+5) = a(x^3 +3x^2 -9x+5)

-2.5 = 5a

a =-2.5/5 = -1/2

P(x) =(-1/2)(x-1)^2(x+5) or (-1/2)(x^3 +3x^2 -9x +5)