SOLUTION: Degree 6;zeros:-4,6,4-5i,-6+i

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Question 746845: Degree 6;zeros:-4,6,4-5i,-6+i
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
if you mean find a polynomial of degree 6 with those zeros then here goes...


the general form would be:


which after some work we get:
%0D%0AP=a%28-6%2Bx%29+%284%2Bx%29+%2841-8+x%2Bx%5E2%29+%2837%2B12+x%2Bx%5E2%29%0D%0A
and the principal polynomial is:


%0D%0AP=x%5E6%2B2+x%5E5-50+x%5E4%2B136+x%5E3%2B1557+x%5E2-7738+x-36408%0D%0A