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Class 10 · Mathematics (Standard) · Unit 2: Polynomials

Factor and Remainder Theorems

Lesson 4 of 6
Remainder Theorem: if p(x)p(x) is divided by (x−a)(x-a), the remainder is p(a)p(a). Factor Theorem: (x−a)(x-a) is a factor of p(x)p(x) iff p(a)=0p(a) = 0. These reduce factorisation to root-hunting.
Gyaan Maths — CBSE Class 6-12, built for board-toppers.
v1.1 · Sept 2026