Question

Find a cubic polynomial function f with real coefficients that has the given complex zeros and x - intercept. (There are many correct answers.)

Complex Zeros                                x-Intercept

x = 4 ± 2 i                                           (-2, 0)

Answer 1

Step 1:

Complex zeros of cubic function and -intercept is .

Zeros are and .

By using Factor theorem,

When then is factor of polynomial.

Apply the formula .

Solution:

Cubic polynomial function is .