Answer:
f(x) = (x+2) (x+2)^3 (x-1) (x-6)
Step-by-step explanation:
The first zero, -2, corresponds to the factor x+2 of the polynomial.
Given that this zero, -2, has multiplicity 3, (x+2)^3 represent the first three factors of the polynomial.
The next factor stems from the zero 1: (x-1).
The next 6 factors stem from the zero 6: (x-6).
Writing the polynomial in factored form, we get:
f(x) = (x+2) (x+2)^3 (x-1) (x-6)
