Is it possible that a polynomial function has no intercept?why?
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Is it possible that a polynomial function has no intercept?why?
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Answer:
Step-by-step explanation:
Since complex roots always occur in conjugate pairs, that is to say if is a root, then must also be a root, and the number of zeros of a polynomial function is equal to the degree of the function (Fundamental Theorem of Algebra) it is possible to have a polynomial function of even degree with no real number zeros, and therefore no -intercepts. Polynomial functions of odd degree are guaranteed to have at least one real zero and therefore at least one -intercept.