Answer:
f(x) = x(x + 2)(x + 9)(x - 8)²
Step-by-step explanation:
Given x = h is a zero of f(x) then (x - h) is a factor
If h has multiplicity 2 then the factor is squared , that is (x - h)²
here the zeros are x = 8 of multiplicity 2 , x = - 2, x = - 9, x = 0
then (x - 8)² , (x - (- 2)) , (x - (- 9)) , x - 0 are the factors, that is
(x - 8)² , (x + 2) , (x + 9) and x
f(x) = x(x + 2)(x + 9)(x - 8)² ← in factored form
