Synthetic division (small part of a bigger problem)

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  • #1
graycolor
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(x^3-2)/(x^2+11x+24) can't seem to simplify this I get x+(-11x^2-24x-2)/(x^2+11x+24) that doesn't seem right.
 

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  • #2
Dick
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It's right but why do you still have a quadratic term in the numerator and denominator of the remainder? That's not really a proper remainder, is it? Don't you want x-11+remainder?
 
  • #3
graycolor
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I've thought about doing synthetic division again with the remainder... would that be right. If I did I would get -11 that would cross out with my +11 and add a remainder.
 
  • #4
Dick
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I've thought about doing synthetic division again with the remainder... would that be right. If I did I would get -11 that would cross out with my +11 and add a remainder.

"Cross out with +11"? What +11? Yes, the quotient should be x-11 and the remainder a linear polynomial over x^2+11x+24.
 
  • #5
HallsofIvy
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First of all, you aren't doing "synthetic division". Synthetic division is used to divide a polynomial by a first order term of the form x- a only. What you are doing is just division with polynomials.

It's hard to comment since you didn't show your work. Did you handle the "0x2" and "0x" in the dividend properly?
 

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