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

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) (Show Source): You can put this solution on YOUR website!
Find the polynomial with the lowest degree having the following zeros -2, 2-i
--------
Complex roots always occur in pairs, so add 2+i as a zero
--> (x+2)*(x-2-i)*(x-2+i)
=
= --> E
---------------
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
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