CPM Homework Help : INT3 Problem 8-78

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Home > INT3 > Chapter Ch8 > Lesson 8.2.2 > Problem 8-78

8-78.

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

Hint:

Refer to problems 8-65 and 8-67.

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

$5 + \sqrt { 3 } \text { and } 5 - \sqrt { 3 }$
Answer (b):
$y = x^{2} − 10x + 22$

$- 2 , \sqrt { 7 } , \text { and } - \sqrt { 7 }$
Hint (c):
You will need to write a product of three linear factors for this one.
Answer (c):
$y = x^{3} + 2x^{2} − 7x − 14$

$4 , - 3 + i , \text { and } - 3 - i$
Hint (d):
You can use your answer from part (a) to get started.

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