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Factoring Polynomials Help

  1. Feb 18, 2006 #1
    I'm having trouble with this one factoring problem-

    x^2(a+b)-x(a+b)+(a+b)

    I thought it was 3 terms so I tried to do decomposition but it doesn't seem to work. If someone could just help me, I'd appreciate it. Thanks!
     
  2. jcsd
  3. Feb 18, 2006 #2

    arildno

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    Take out the common factor (a+b) first.
     
  4. Feb 18, 2006 #3
    so I'm gonna end up (a+b)(x^2-x)?
     
  5. Feb 18, 2006 #4

    arildno

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    No. If you multiply that out, would you have any constant term?
     
  6. Feb 18, 2006 #5
    OH! so (a+b)(x^2-x+1)
     
  7. Feb 18, 2006 #6

    arildno

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    Quite right!
    So, what are the roots of the polynomial hiding inside the brackets?
     
  8. Feb 18, 2006 #7
    I'm not sure but its impossible to multiply to -1 and add to 1
    1*1=1 and add to 2, 1*-1=-1 but add to 0
    so I can't use quadratics....
     
  9. Feb 18, 2006 #8

    arildno

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    So, you've found that your polynomial hasn't got any real roots, right?
    That means your factorization is complete..
     
  10. Feb 18, 2006 #9
    Hey hey! Thank you for your help ^_^
     
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