SOLUTION: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree:4; zeros:2i and -5i

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Question 673706: Form a polynomial f(x) with real coefficients having the given degree and zeros.
Degree:4; zeros:2i and -5i
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Degree:4; zeros:2i and -5i

(x-2i)(x-(-2i))(x-(-5i))(x-5i) = (x^2 + 4)(x^2 + 25) = x^4 + 29x^2 + 100