SOLUTION: how do you simplify (xsquared-x+3)/(xcubed+6xsqaured+11x+6)

Question 250770: how do you simplify (xsquared-x+3)/(xcubed+6xsqaured+11x+6)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
how do you simplify (xsquared-x+3)/(xcubed+6xsqaured+11x+6)
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(x^2-x+3)/(x^3+6x^2+11x+6)
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Use synthetic division to factor the denominator:
-1)....1....6....11....6
........1....5.....6....|..0
The denominator factors as:
(x+1)(x^2+5x+6)
Or
(x+1)(x+2)(x+3)
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But there are no factors common to numerator and denominator,so
the problem does not simplify.
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Cheers,
Stan H.
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