SOLUTION: find all the zeros of the function f(x) = x^3 - 2x^2 - 5x + 6

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Question 248295: find all the zeros of the function

f(x) = x^3 - 2x^2 - 5x + 6

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
find all the zeros of the function
f(x) = x^3 - 2x^2 - 5x + 6
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The coefficients add up to zero so x = 1 is a zero.
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1)....1....-2....-5....6
.......1.....-1....-6..|..0
Quotient: x^2 -x -6
Remainder: 0
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Find the zeroes of x^2-x-6
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(x-3)(x+2) = 0
x = 3 or x = -2
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Solutions: x = 1,x = 3, x = -2
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Cheers,
Stan H.