SOLUTION: find the complex zeros of the polynomial function. write f in factored form x^4+10x^3-2x^2+90x-99

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Question 636837: find the complex zeros of the polynomial function. write f in factored form
x^4+10x^3-2x^2+90x-99

Answer by ewatrrr(10682) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
x^4+10x^3-2x^2+90x-99
Recognizing the x = 1 and x = -11 are zeroes
Consecutively Applying Synthetic Division yields
x^2 + 9 =0
x^2 = -9
x = ± 3i