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Math Help - what kind of polynomial is this:

  1. #1
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    what kind of polynomial is this:

    p(x) = a + bcos(pi *x) + csin(pi *x)

    Is this polynomial considered linear, quadratic, or neither?

    Thanks.
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  2. #2
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    I would say neither, as there are no x^2 or x terms, and also it contains periodic funtions (sin and cos).
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  3. #3
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    Quote Originally Posted by jzellt View Post
    p(x) = a + bcos(pi *x) + csin(pi *x)

    Is this polynomial considered linear, quadratic, or neither?

    Thanks.

    This is not a usual polynomial. It is called a trigonometric polynomial and they're the basis of a rather nice and important subject called Fourier Series.

    Tonio
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  4. #4
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    As both chug and Tonio said, that is not a polynomial at all.

    It is, however, per Tonio, a linear trigonometric polynomial.
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