NCERT Maths Chapter 2 Polynomials – Types, Zeros & Factorization

Polynomials are algebraic expressions consisting of variables and coefficients combined using addition, subtraction, and multiplication. They are widely used in mathematics to represent relationships between quantities and solve equations.

This chapter is important for CBSE Board Exams and Competitive Exams.

What is a Polynomial?

A polynomial is an algebraic expression of the form:

a?x? + a???x??¹ + ... + a?x + a?

where the powers of the variable are non-negative integers.

Types of Polynomials

Based on Degree

Linear Polynomial – Degree 1
Quadratic Polynomial – Degree 2
Cubic Polynomial – Degree 3

Based on Number of Terms

Monomial
Binomial
Trinomial

Zeros of a Polynomial

A zero of a polynomial is the value of the variable for which the polynomial becomes zero.

Understanding zeros helps in solving algebraic equations and graph-related problems.

Factorization of Polynomials

Factorization is the process of expressing a polynomial as a product of simpler polynomials or factors.

It is useful for:

Solving equations
Finding roots
Simplifying algebraic expressions

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Algebraic Identities

Polynomials make extensive use of algebraic identities for simplification and factorization.

These identities help solve mathematical problems quickly and accurately.

Importance of Polynomials

Forms the foundation of algebra.
Helps solve equations and mathematical models.
Used in science, engineering, and economics.
Essential for higher mathematics.

Importance for CBSE Exams

Polynomials is a scoring chapter in NCERT Maths. Questions are frequently asked on polynomial classification, zeros of polynomials, factorization, and algebraic identities.

Key Topics Covered

Polynomials
Degree of Polynomial
Linear Polynomial
Quadratic Polynomial
Cubic Polynomial
Zeros of Polynomial
Factorization
Algebraic Expressions
Algebraic Identities
Applications of Polynomials

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