G. B. Folland, Remainder Estimates in Taylor's Theorem, The American Mathematical Monthly, Vol. 97, No. 3 (Mar., 1990), pp. 233-235 ...

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If \((x \pm h)\) is a factor of a polynomial, then the remainder will be zero. Conversely, if the remainder is zero, then \((x \pm h)\) is a factor. Often, factorising a polynomial requires some ...