Class 9 · Chapter 2

Introduction to Linear Polynomials

Polynomials — definition, types, evaluation, zeros.

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Ganita Manjari · Class 9 (2026-27)

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Detailed theory

Constant

= a_0

(degree 0). Linear

= ax+b

(degree 1). Quadratic

= ax^2+bx+c

. Cubic

= ax^3+bx^2+cx+d

Key concepts & formulas

A polynomial in

x

a_n x^n + a_{n-1} x^{n-1} + \ldots + a_0

Degree = highest power.

Linear: degree 1; quadratic: degree 2; cubic: degree 3.

**Zero** of

p(x)

: value

\alpha

with

p(\alpha)=0

Linear polynomial

ax+b

has zero

-b/a