Question

Write a polynomial function with the given roots of -1,4i, and -4i. Worxk backwards

Answer 1

f(x) = x³ + x² + 16x + 16

Explanation:

f(x) = (x - (-1))(x - 4i)(x - (-4i))

f(x) = (x + 1)(x - 4i)(x + 4i)

f(x) = (x + 1)(x² + 16)

f(x) = x³ + 16x + x² + 16

f(x) = x³ + x² + 16x + 16