p(x) = a + bcos(pi *x) + csin(pi *x) Is this polynomial considered linear, quadratic, or neither? Thanks.
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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).
Originally Posted by jzellt 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
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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