### Home > A2C > Chapter 9 > Lesson 9.2.2 > Problem 9-89

9-89.

For each of the following sets of numbers, find the equation of a function that has these numbers as roots. Homework Help ✎

−3 +

*i*and −3 −*i*and −2,

, and 4, − 3 +

*i*, and −3 −*i*

If these are the roots, what are the factors?

*y* = [*x* − (−3 + i)] [*x* − (−3 − *i*)]

Mutiply the factors. You may want to use a generic rectangle. Simplify after multiplying.

What are the factors?

Multiply the last two factors first.

Use the same process as part (a) above.

Use the ideas from part (a) and part (c) for this problem. How does part (a) make this problem reasonable?