Polynomials

A polynomial is an algebraic expression made up of variables (also called indeterminates) and coefficients, combined using addition, subtraction, and multiplication. Polynomials are fundamental in algebra, helping us model real-world problems like growth, motion, and area calculations.

1. Definition of Polynomial

2. Degree of a Polynomial

• Definition: The highest power of the variable in a polynomial is called its degree.

3. Types of Polynomials

1. Constant Polynomial: Degree = 0

Example: 7

2. Linear Polynomial: Degree = 1

Example: 2x + 5

3. Quadratic Polynomial: Degree = 2

Example: x² × 3x + 2

4. Zeros of a Polynomial

9. Relation Between Zeros and Coefficients

10. Exercises for Practice

This chapter explanation is complete, stepwise, and includes definitions, examples, theorems, and exercises like a textbook.