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 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
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FAQs on PPT: Polynomials - Mathematics (Maths) Class 9

1. What are polynomials?
Ans. Polynomials are mathematical expressions consisting of variables and coefficients, involving only the operations of addition, subtraction, multiplication, and non-negative integer exponents.
2. How do you classify polynomials based on the number of terms?
Ans. Polynomials can be classified as monomials (one term), binomials (two terms), trinomials (three terms), or polynomials with more than three terms.
3. What is the degree of a polynomial?
Ans. The degree of a polynomial is the highest power of the variable in the polynomial expression. It helps determine the behavior and characteristics of the polynomial.
4. How do you add and subtract polynomials?
Ans. To add or subtract polynomials, simply combine like terms by adding or subtracting the coefficients of the same variables raised to the same powers.
5. How do you multiply polynomials using the distributive property?
Ans. When multiplying polynomials, use the distributive property to multiply each term of one polynomial by each term of the other polynomial, then combine like terms to simplify the expression.
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