Polynomial Equation

Question

write a polynomial, P(x), in factored form given the following requirements..

degree: 3

zeros at (3,0), (-5,0), and (-1,0)

y intercept at (0,-15)

Answer 1

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

P(0) = -15 ⇒

-15 = A(-3)(5)(1) = -15A

A = 1

P(x) = (x - 3)(x + 5)(x + 1)