Find a degree 3 polynomial with real coefficients having zeros 4 and 4 i and a lead coefficient of 1. Write P in expanded form.

Question

Find a degree 3 polynomial with real coefficients having zeros  and  and a lead coefficient of 1. Write  in expanded form.

Answer 1

P = (x-4)(x^2 + 4) = x^3 -4x^2 + 4x - 16