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Odd ball Poly-Nominal Question

  1. Aug 3, 2009 #1
    1. The problem statement, all variables and given/known data
    A. Expand the function, f[x]= [1+x] to the power three, [What I mean is is the [1+x] is cubed. in increasing powers of x, and sate whether or not the function is a poly-nominal, giving reasons.

    B. Plot graph f[x]

    C. On the same axes plot the functions, g[x] which contain the first two terms of the expansion, and h[x] which contain the first three terms of the expansion.

    3. The attempt at a solution

    I have tried question A.

    f[x]=[1+x]Cubed.
    =[1+x][1+x][1+x]
    =x cubed + 3x squared +3x + 1.

    This question is a poly nominal.

    But that is as far as I can go. I don't know if I am right or wrong and what to do with this question.
     
  2. jcsd
  3. Aug 3, 2009 #2
    Hi Venito

    Yes, you're right
    f(x) = x^3 + 3x^2 + 3x + 1, but the question wants you to do it in increasing powers of x, so f(x) = 1 + 3x + 3x^2 + x^3

    I think this will be helpful :http://en.wikipedia.org/wiki/Polynomial

    For (b) : find the intersection with the axis and find also the stationary point to sketch the graph

    For (c) : sketch g(x) = 1 + 3x and sketch h(x) = 1 + 3x + 3x^2
     
  4. Aug 3, 2009 #3
    Right that makes sense. With the changes made I should come out.

    Thanks.
     
  5. Aug 4, 2009 #4
    You're welcome ^^
     
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