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

Question

Find a polynomial function f(x)) of degree 3 with real coefficients that satifies the following conditions. Zero of 0 and zero of 4 having multiplicity 2; f(5)=30

Answer 1

f(x) = ax(x - 4)²

30 = a(5)(5 - 4)²

6 = a

f(x) = 6x(x - 4)²