This document introduces polynomials and their properties. It defines a polynomial as an algebraic expression with variables and their powers, like 3x + 15. Polynomials are useful in mathematics and sciences. The document discusses identifying terms of a polynomial, adding and subtracting polynomials, multiplying polynomials, and defining the degree of a polynomial as the highest power term. It provides examples to demonstrate these polynomial concepts and properties.

1. WELCOME

2. ST. THOMAS TRAINING COLLEGE,
MUKKOLAKKAL THIRUVANANTHAPURAM.
Prepared by
NISHA.B
REG : NO.13386004
MATHEMATICS

4. Look at this figure !
5 c.m
• What is the area of this rectangle?
• Length of the Rectangle = 5+ x
• Breadth of the Rectangle=3
• Area of the Rectangle =3(5+ x)
=3x +15
3 c.m
Such algebraic expression is called POLYNOMIAL
x

5. Examples of Polynomials
• Polynomials are useful not only in
Mathematics but in other Sciences also.

6. POLYNOMIAL PECULIARITIES
• Look at the polynomial
• Polynomial peculiarities
Multiply by 2.
Multiply by 3 and add.
Multiply by 4 and subtract.
Subtract 1.

7. Look at the another polynomial
 We can write it as
 Each such add end is called term of the Polynomial.
 and -5 are the terms of this Polynomial.
 The number added at the end is called constant
term.
 Here constant term is -5.

8. Addition and Subtraction of
Polynomials
• Look at the polynomials,
and

9. Polynomial Multiplication
• Look at the Polynomials,
and

10. Degree of a Polynomial
. Polynomial
. The Powers of =
. The largest exponent among them is 4.
.Largest exponent is called the Degree of the
polynomial.

11. .All non-zero numbers are said to be zero-degree
polynomials.
.The number 0 itself is treated as a polynomial with
degree.
.The degree of a product is the sum of the degrees of
the Factors.

12. THANK YOU