Answer:
f(x) = x³ + x² - 8x - 12
Step-by-step explanation:
given roots x = -2 of multiplicity 2 and x = 3, then
(x + 2)² and (x - 3) are factors and the polynomial is the product of the factors
f(x) = a(x + 2)²(x - 3) ← where a is a multiplier
f(x) = (x² + 4x + 4)(x - 3) ← with a = 1
= x³ + x² - 8x - 12
