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can you help me, whats the polynomial with roots 2i, 0, √2

Guest Dec 5, 2014

Best Answer 

 #1
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A cubic polynomial with these roots can be constructed by expanding the following:

(x - 2i)*x*(x - √2) = 0

to get

x3 - (2i + √2)x2 + 2i√2x = 0

.

Alan  Dec 5, 2014
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1+0 Answers

 #1
avatar+26399 
+5
Best Answer

A cubic polynomial with these roots can be constructed by expanding the following:

(x - 2i)*x*(x - √2) = 0

to get

x3 - (2i + √2)x2 + 2i√2x = 0

.

Alan  Dec 5, 2014

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