Emma H.

asked • 12/07/15

Find an nth degree polynomial with real coefficients satisfying the given conditions

n = 3
 
-4 and 2i are zeros 
 
f(-1) = -45
 
Find the expanded and simplified polynomial
 
 

1 Expert Answer

By:

Navi M.

Why does it become f(x) = a(x-2i)[x-(-2i)](x-(-4)]?
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04/18/20

Navi M.

Also, how would I go about solving this problem if I have 4 roots?
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04/18/20

Mark M.

tutor
If a number, c, is a root, then x - c is a factor. You can't have 4 roots for a polynomial of degree < 4.
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04/19/20

Where N.

How did the -4i^2 became +4? Did I missing something?
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07/20/20

Mark M.

tutor
i^2 = -1. So, -4(i^2) = -4(-1) = +4
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07/20/20

Where N.

Thank you very much! Appreciate it
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07/22/20

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