CPM Homework Help : PCT Problem 11-56

A cubic function has roots of $x = 3$ , $x = 2 + i$ , and $x = 2 − i$ . What is the coordinate of the $y$ -intercept?

Step 1:

Write the factors of the function.

$y = \left(x − 3\right)\left(x − \left(2 + i\right)\right)\left(x − \left(2 − i\right)\right)$

Step 2:

Let $x = 0$ to determine the $y$ -intercept.