Polynomial Function

Question

Find a polynomial function with the zeros −3​,1​,5

whose graph passes through the point (7,240)

Answer 1

f(x) = A(x + 3)(x - 1)(x - 5)

240 = A(7 + 3)(7 - 1)(7 - 5)

240 = 120A

A = 2

f(x) = 2(x + 3)(x - 1)(x - 5)