SOLUTION: factor polynomial f(x) = x^3+2x^2-15x-36

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Question 524674: factor polynomial
f(x) = x^3+2x^2-15x-36

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
factor polynomial
f(x) = x^3+2x^2-15x-36
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I graphed the equation and found a zero at x = 4
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Then, use synthetic division to find the other zeroes:
4)....1....2....-15....-36
.......1....6.....9....|..0
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Quotient: x^2+6x+9
Factor: (x+3)^2
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So, zero at x = -3 with multiplicity 2
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Factors: f(x) = (x-4)(x+3)^2
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Cheers,
Stan H.
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