SOLUTION: Identify the solution for the inequality: {{{ X^3-2X^2-15X+36>0 }}}

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Question 550004: Identify the solution for the inequality: +X%5E3-2X%5E2-15X%2B36%3E0+
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
X^3-2X^2-15X+36 > 0
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I graphed the cubic and found a root at x = -4.
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Using synthetic division:
-4)....1....-2....-15....36
........1.....-6.....9....|..0
Quotient: x^2-6x+9
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Factor:
= (x-3)^2
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Roots of the cubic: x = -4 or x = 3 with multiplicity 2.
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Cheers,
Stan H.