CBSE · Class 6-12

Back to Polynomials

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

Division Algorithm for Polynomials

Lesson 3 of 6

For polynomials

p(x)

and

g(x)

(with

g(x) \ne 0

), there exist unique polynomials

q(x)

(quotient) and

r(x)

(remainder) with

p(x) = g(x)\, q(x) + r(x)

and either

r(x) = 0

or

\deg r(x) < \deg g(x)

. This mirrors integer long division.

Geometrical Meaning of Zeroes

Factor and Remainder Theorems

All lessons in this unit