### Home > INT3 > Chapter 11 > Lesson 11.1.4 > Problem11-44

11-44.

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

If you know the roots you know the factors.

$\left(x − 3\right)\left(x − \left(1 + i\right)\right)\left(x − \left(1 − i\right)\right)$

Multiply and simplify.

Possible answer: $f\left(x\right)=x^3−5x^2+8x−6$