SOLUTION: Find the polynomial of lowest degree having leading coefficient 1, real coefficients with a zero of 5 (multiplicity 2), and zero 1-4i

SOLUTION: Find the polynomial of lowest degree having leading coefficient 1, real coefficients with a zero of 5 (multiplicity 2), and zero 1-4i

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Question 1083704: Find the polynomial of lowest degree having leading coefficient 1, real coefficients with a zero of 5 (multiplicity 2), and zero 1-4i
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find the polynomial of lowest degree having leading coefficient 1, real coefficients with a zero of 5 (multiplicity 2), and zero 1-4i
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The conjugate of 1-4i is also a root, 1+4i
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--> (x-5)*(x-5)*(x-1+4i)*(x-1-4i) = 0

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