CPM Homework Help : A2C Problem 13-124

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

Hint:

Write an equation using the given roots and simplify.

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

Answer:

Possible answer: $f(x)=x^³-5x^²+8x-6$