SOLUTION: f (x)=x^3+11x^2-x-11 find all zeros of a function how do you get the zeros from the function?

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Question 693093: f (x)=x^3+11x^2-x-11 find all zeros of a function
how do you get the zeros from the function?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = x^3+11x^2-x-11 find all zeros of a function
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Since the coefficients of "f" add up to zero,
x = 1 is a zero of "f":
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Use synthetic division to find the other zeroes:
1)....1....11....-1....-11
.......1....12....11...|..0
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Quotient: x^2 + 12x + 11
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Factor to find other zeroes:
(x+11)(x+1) = 0
x = -1 or x = -11
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So, the zeroes of "f" are x = 1, x = -1, x = -11
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Cheers,
Stan H.
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