Answer:
p(x) = x³ - 9x² + 4x + 120
Step-by-step explanation:
complex zeros occur in conjugate pairs
6 + 2i is a zero, hence 6 - 2i is a zero
the factors are therefore (x + 3) , (x - (6 + 2i)), (x - (6 - 2i)), hence
p(x) = (x + 3)(x - 6 - 2i)(x - 6 + 2i)
= (x + 3)((x - 6)² - 4i²)
= (x + 3)(x² - 12x + 36 + 4) ← i² = - 1
= (x + 3)(x² - 12x + 40)
= x³ - 9x² + 4x + 120 ← in standard form
