SOLUTION: I have worked this problem at least six times on paper. This particular area is giving me a headache. Please help. Find the polynomial with the lowest degree having the follo

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I have worked this problem at least six times on paper. This particular area is giving me a headache. Please help. Find the polynomial with the lowest degree having the follo      Log On


   



Question 428150: I have worked this problem at least six times on paper. This particular area is giving me a headache. Please help.
Find the polynomial with the lowest degree having the following zeros -2, 2-i
A)x^3+6x^2+10
B)6x^2+13x+10
C)x^3+6x^2+13x+10
D)x^3+2x+3x-10
E)None of the above

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the polynomial with the lowest degree having the following zeros -2, 2-i
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Complex roots always occur in pairs, so add 2+i as a zero
--> (x+2)*(x-2-i)*(x-2+i)
= %28x%2B2%29%2A%28x%5E2+-+4x+%2B+5%29
= x%5E3+-+2x%5E2+-+3x+%2B+10 --> E
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A)x^3+6x^2+10
B)6x^2+13x+10
C)x^3+6x^2+13x+10
D)x^3+2x+3x-10
E)None of the above