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Simplification of polynomial division

  1. Nov 4, 2009 #1
    1. The problem statement, all variables and given/known data
    For all x>2, [tex]\frac{2x²+2x-12}{x-2}[/tex] simplifies to:
    2(x - 2), x + 3, 2(x + 3)(x - 2), x - 2 or 2(x + 3).
    (Problem taken from http://www.analyzemath.com/practice_tests/act/act_sample_1.html" [Broken], question five).


    2. Relevant equations
    None, AFAIK.


    3. The attempt at a solution
    I have seen the answer (which is 2(x+3)), but I couldn't figure out how to get there.
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Nov 4, 2009 #2

    Mark44

    Staff: Mentor

    The problem as you have written it is not the same as in the link. This is the version in the link:
    [tex]\frac{2x^2 + 2x -12}{x - 2}[/tex]

    Factor 2 out of the numerator and then factor the remaining terms into the product of two binomials.
     
  4. Nov 4, 2009 #3
    (A little typo :P)
    Got it, thanks (quite easy, actually). I first thought of long polynomial division, but that's beyond my current knowledge, plus factoring is faster and easier.
     
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