### Home > INT3 > Chapter 8 > Lesson 8.2.2 > Problem8-78

8-78.

For each of the following sets of numbers, what is the equation of a function that has these numbers as roots?

Refer to problems 8-65 and 8-67.

1. $- 3 + i \text { and } - 3 - i$

1. $5 + \sqrt { 3 } \text { and } 5 - \sqrt { 3 }$

$y = x^{2} − 10x + 22$

1. $- 2 , \sqrt { 7 } , \text { and } - \sqrt { 7 }$

You will need to write a product of three linear factors for this one.

$y = x^{3} + 2x^{2} − 7x − 14$

1. $4 , - 3 + i , \text { and } - 3 - i$

You can use your answer from part (a) to get started.