SOLUTION: factor the polynomial x^3+3x^2-10x-24 completely knowing that x-3 is a factor.

Question 320720: factor the polynomial x^3+3x^2-10x-24 completely knowing that x-3 is a factor.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
factor the polynomial x^3+3x^2-10x-24 completely knowing that x-3 is a factor.
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Use synthetic division:
---
3)....1....3....-10....-24
.......1....6.....8.....|..0
==============
Quotient: x^2 + 6x + 8
Factor:(x+4)(x+2)
============================
Factor Form: (x-3)(x+4)(x+2)
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Cheers,
Stan H.
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