SOLUTION: Can someone please help me find a polynomial in standard form with the given solutions: a cubic with x= -1, x=6+i Thank you so much!

Algebra ->  Rational-functions -> SOLUTION: Can someone please help me find a polynomial in standard form with the given solutions: a cubic with x= -1, x=6+i Thank you so much!      Log On


   

Question 684205: Can someone please help me find a polynomial in standard form with the given solutions:
a cubic with x= -1, x=6+i
Thank you so much!
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
given
x = -1
x = 6+i
known, but not given
x = 6-i
...
x = -1
x + 1 = 0
...
x = 6 +/- i
x - 6 = +/- sqrt%28-1%29
%28x-6%29%5E2+=+sqrt%28-1%29%5E2
%28x-6%29%5E2+=+-1%0D%0A%7B%7B%7B%28x-6%29%5E2+%2B+1+=+0
x%5E2+-+12x+%2B+36+%2B+1+=+0
x%5E2+-+12x+%2B+37+=+0
...
%28x%2B1%29%28x%5E2-12x%2B37%29=0
x%5E3+-+12x%5E2+%2B+37x+%2B+x%5E2+%2B+12x+%2B+37+=+0
...
highlight_green%28x%5E3+-+11x%5E2+%2B+49x+%2B+37+=+0%29
.....................
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