### Home > INT3 > Chapter 11 > Lesson 11.1.4 > Problem 11-44

11-44.

Write a polynomial function of degree three with roots *x* = 3, 1 ± *i*. Express your answer in standard form. Homework Help ✎

If you know the roots you know the factors.

(*x* − 3)(*x* − (1 + *i*))(*x* − (1 − *i*))

Multiply and simplify.

Possible answer: *f*(*x*) = *x*³ − 5*x*² + 8*x* − 6