FACTOR & REMAINDER THEOREM with SOLVED EXAMPLES | by Saloni Agarwal | Shikshak Junction

In algebra, the polynomial remainder theorem or little Bézout's theorem (named after Étienne Bézout) is an application of the Euclidean division of polynomials. It states that the remainder of the division of a polynomial f(x) by a linear polynomial x-r is equal to f(r).

In algebra, the factor theorem is a theorem linking factors and zeros of a polynomial. It is a special case of the polynomial remainder theorem. The factor theorem states that a polynomial f(x) has a factor (x - k) if and only if f(k)=0 (i.e. k is a root).

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