Polynomial

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ST. THOMAS TRAINING COLLEGE, MUKKOLAKKAL THIRUVANANTHAPURAM.

PREPARED BY

NISHA.B

REG : NO.13386004

MATHEMATICS

Look at this figure !

• What is the area of this rectangle?

• Length of the Rectangle = 5

• Breadth of the Rectangle=3+x

• Area of the Rectangle =5(3+x)

=5x +15

Such algebraic expression is called POLYNOMIAL

3 c.m

5 c.m

x

Examples of Polynomials

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

POLYNOMIAL PECULIARITIES

• Look at the polynomial

• Polynomial peculiarities

Multiply by 2.

Multiply by 3 and add.

Multiply by 4 and subtract.

Subtract 1.

Look at the another polynomial

We can write it as P(x)=2x^3+(-3) x^2+x-5

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.

Addition and Subtraction of

Polynomials • Look at the polynomials,

and

Polynomial Multiplication

• Look at the Polynomials,

and

Degree of a Polynomial

. Polynomial

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

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

THANK YOU