PPT: Polynomials | Mathematics (Maths) Class 9 PDF Download

 Page 1


P O L Y N O M I A LS
Page 2


P O L Y N O M I A LS
What are
Polynomials?
An algebraic expression, in which the
variables involved have only whole
number powers, is called a polynomial.
Page 3


P O L Y N O M I A LS
What are
Polynomials?
An algebraic expression, in which the
variables involved have only whole
number powers, is called a polynomial.
 A variable is denoted
by a symbol that can
take any real value,
often represented by
letters such as x, y, z, etc.
Expressions like 2x, 3x, -x,
and -1/2x are examples of
algebraic expressions,
specifically in the form (a
constant) × x. When the
constant is unknown, it is
denoted as a, b, c, etc. 
Variable
Algebraic
Expressions
IMPORTANT TERMS
Page 4


P O L Y N O M I A LS
What are
Polynomials?
An algebraic expression, in which the
variables involved have only whole
number powers, is called a polynomial.
 A variable is denoted
by a symbol that can
take any real value,
often represented by
letters such as x, y, z, etc.
Expressions like 2x, 3x, -x,
and -1/2x are examples of
algebraic expressions,
specifically in the form (a
constant) × x. When the
constant is unknown, it is
denoted as a, b, c, etc. 
Variable
Algebraic
Expressions
IMPORTANT TERMS
X + 10
X 
Area = length × breadth 
Area = X × (X + 10) 
Area = X  +  10X
2
Example of a
Polynomials
Page 5


P O L Y N O M I A LS
What are
Polynomials?
An algebraic expression, in which the
variables involved have only whole
number powers, is called a polynomial.
 A variable is denoted
by a symbol that can
take any real value,
often represented by
letters such as x, y, z, etc.
Expressions like 2x, 3x, -x,
and -1/2x are examples of
algebraic expressions,
specifically in the form (a
constant) × x. When the
constant is unknown, it is
denoted as a, b, c, etc. 
Variable
Algebraic
Expressions
IMPORTANT TERMS
X + 10
X 
Area = length × breadth 
Area = X × (X + 10) 
Area = X  +  10X
2
Example of a
Polynomials
Polynomials are algebraic expressions with variables,
coefficients, and exponents. When the exponents are whole
numbers, the expressions are termed polynomials in one
variable.
p O LYNOMI AL S
 x²+2x
Terms and Coefficients
In a polynomial like x² + 2x, x² and 2x are referred to as terms.
Each term has a coefficient—in -x³ + 4x² + 7x - 2, coefficients
are -1, 4, 7, and -2. The term x ° (where x ° = 1) is also present.
-x³ + 4x² + 7x - 2