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ST. THOMAS TRAINING COLLEGE, MUKKOLAKKAL THIRUVANANTHAPURAM.

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NISHA.BREG : NO.13386004

MATHEMATICS

POLYNOMIAL

Look at this figure !

• 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 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 peculiaritiesMultiply by 2.Multiply by 3 and add.Multiply by 4 and subtract.Subtract 1.

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.

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 =

. 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 number 0 itself is treated as a polynomial with degree..The degree of a product is the sum of the degrees of the Factors.

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