SOLUTION: Find an nth degree polynomial satisfying the given conditions: n=3; 2 and 2-3i are zeros; f(1)=-10

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Question 673752: Find an nth degree polynomial satisfying the given conditions:
n=3; 2 and 2-3i are zeros; f(1)=-10
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
x = 2
x = 2 -3i
given then that x = 2 + 3i
...
x - 2 = 0
...
x - 2 = -3i
sqrt%28%28x-2%29%5E2%29+=+-+%283i%29%5E2 = %28x-2%29%5E2+=+-%289i%5E2%29}
(x-2)^2 = (9*-1)
(x-2)^2 = -9
(x-2)^2 + 9 = 0
...
(x-2)^2 + 9= 0
(x^2 - 4x + 4) + 9 = 0
(x-2)(x^2 - 4x + 13) = 0
x^3 - 4x^2 + 13x - 2x^2 + 8x - 26 = 0
highlight_green%28x%5E3+-+6x%5E2+%2B+21x+-26+=+0%29
.....................
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