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Math Help - Cubic and Quartic Functions Problems: Part 1

  1. #1
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    Exclamation Cubic and Quartic Functions Problems: Part 1

    I am having trouble with a couple of questions in terms of the proccess of solving the questions:
    1 If x-3 is a factor is x^2+ax+b, then 3a+b+10 equals?
    2 The x-axis intercepts of the graph with equation y=(x+a)^2(x^2-b^2), where a and b are positive constants are?

    I will be greatly apprecieated if any of you would have the time to help and explain these questions for me.
    Last edited by Chris L T521; April 27th 2011 at 12:17 AM. Reason: Splitting up the original thread.
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  2. #2
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    This is a long list, so lets take them 1 at a time.

    Quote Originally Posted by theleontan View Post
    I am having trouble with a couple of questions in terms of the proccess of solving the questions:
    1 If x-3 is a factor is x^2+ax+b, then 3a+b+10 equals?
    If x-3 is a factor then f(3)=0, does that help?
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    Care to explain? I still don't see how that helps :/
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    Quote Originally Posted by theleontan View Post
    Care to explain?
    If you have a term in x which consists of a factor (x-3) and an additional factor in x you can express this situation as:



    If you plug in x = 3 then you get

    which is obviously zero.

    I still don't see how that helps :/
    According to the text of your question

    and

    That means: Plug in x = 3 and see what you can say about the term you'll get.
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