Question

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

Complex Zeros                                 x-Intercept

x = -1 ± √3 i                                           (4, 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 .