College Algebra

Question

find a polynomial function​ f(x) of degree 3 with real coefficients that satisfies the following conditions zero of 0 and zero of 3 multiplying 2 ; f(4)=24

Answer 1

I think you meant to say "of multiplicity 2."

f(x) = A(x - 0)(x - 3)² = Ax(x - 3)²

24 = A(4)(4 - 3)²

24 = 4A

A = 6

f(x) = 6x(x - 3)²