Construct a polynomial function with the following properties: fifth degree, 4 4 is a zero of multiplicity 4 4 , −1 − 1 is the only other zero, leading coefficient is 5 5 .

Answer 1

f(x) = 5(x-4)^4 * (x+1)

Answer 2

f(x) = 5(x - 4)(x - 4)(x - 4)(x - 4)(x + 1)