### Home > A2C > Chapter 13 > Lesson 13.2.2 > Problem13-124

13-124.

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

Write an equation using the given roots and simplify.

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

Possible answer: $f(x)=x^³-5x^²+8x-6$