If f is a polynomial function of degree 3 with the numbers 4,5, and -6 as zeros, and if f(1)=-210, determine the formula for f(x).

Answer 1

let the equation be
y = a(x-4)(x-5)(x+6)
f(1) = -210
-210 = a(-3)(-4)(7)
a = -210/84 = -5/2

f(x) = (-5/2)(x-4)(x-5)(x+6)