Learn the Remainder Theorem in Maths with easy steps, solved examples, and exam tips. Master polynomial division and find remainders fast for CBSE & competitive exams. Learn how to use the remainder theorem to find the remainder of a polynomial division by a linear polynomial. See the statement, proof, and examples of the remainder theorem and its applications in factoring polynomials. Learn how to use the remainder theorem to divide a polynomial by a linear polynomial and find its remainder . See the proof, formula, and examples with factor theorem and zero of a polynomial. Remainder Theorem is an approach of Euclidean division of polynomials. According to this theorem , if we divide a polynomial P (x) by a factor ( x – a); that isn’t essentially an element of the polynomial; you will find a smaller polynomial along with a remainder .