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Homework Help: Dumb Question

  1. Dec 3, 2007 #1
    Ok this should be pretty simple math for you guys (Sophomore in HS)

    Given that x-2 is a factor of P(x)=2x^3-3x^2-17x+30, find all other linear factors.

    I started out doing synthetic division, and got 2x^2-x-19 with remainder -8. Shouldn't the remainder be zero since x-2 is a factor?

    Please Help!
    Last edited: Dec 3, 2007
  2. jcsd
  3. Dec 3, 2007 #2


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    Too tempted to make a dumb joke, but I'll wait. :biggrin:

    PS: Dk88, welcome to PF! Are you having trouble posting? Have you read the forum guidelines?
  4. Dec 3, 2007 #3
    Sorry i accidentally posted it when I was just trying to preview it.
  5. Dec 3, 2007 #4
    Check your arithmetic [tex]-17 + 2 \ne -19[/tex]

    Then when you get a quadratic apply the quadratic formula.
  6. Dec 3, 2007 #5
    And that, my friend, is why my name is DumbKid. Ya -3 +4 surely is not -1. Thanx for the help.
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