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Math Help - Quick question on graphs and modular arithmetic

  1. #1
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    Quick question on graphs and modular arithmetic

    Let f(x),g(x) belong to R[x] with f(x)=g(x)(mod x)...what can you say about the graphs of y=f(x) and y=g(x)? Well, this says x divides f(x)-g(x)..so one is an odd power and one an even...is there something more to say ?
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  2. #2
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    Quote Originally Posted by zhupolongjoe View Post
    Let f(x),g(x) belong to R[x] with f(x)=g(x)(mod x)...what can you say about the graphs of y=f(x) and y=g(x)? Well, this says x divides f(x)-g(x)..so one is an odd power and one an even...is there something more to say ?

    x divides a polynomial p(x) iff the free coefficient of p(x) is zero, so...

    Tonio
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  3. #3
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    They both cross the origin?
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  4. #4
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    Quote Originally Posted by zhupolongjoe View Post
    They both cross the origin?

    No! Their difference has free coefficient = 0 so the free coefficient of each is...(!?)

    Tonio
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  5. #5
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    The same....so they have the same y-intercept?
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  6. #6
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    Quote Originally Posted by zhupolongjoe View Post
    The same....so they have the same y-intercept?

    That's it: I think you've nailed it.

    Tonio
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