Find a polynomial function f(x) of degree 3 with real coefficients that satisfies with the following conditions.

Question

Zero of 0 and zero of 2 having multiplicity 2; f(3)=15

Answer 1

x (x - 2)(x - 2) + c = y

x³ -4x² + 4x + c = y

Now substitute x= 3 and y = 15 and solve for c.