1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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.

    =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.

  5. Aug 4, 2009 #4
    You're welcome ^^
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook