### Home > PC > Chapter 11 > Lesson 11.1.4 > Problem11-56

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?

Write the factors of the function.

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

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