Polynomials Class 10 PPT

 Page 1


Polynomials
3x + 2x
2x+1
CLASS - 10
Page 2


Polynomials
3x + 2x
2x+1
CLASS - 10
Algebraic Expressions
An algebraic expression is a combination of numbers,
letters (representing variables), and symbols used for
mathematical operations.
Page 3


Polynomials
3x + 2x
2x+1
CLASS - 10
Algebraic Expressions
An algebraic expression is a combination of numbers,
letters (representing variables), and symbols used for
mathematical operations.
What is a POLYNOMIAL?
A polynomial is a mathematical
expression made up of numbers
and variables, like "3x + 2." It's a
versatile tool used in math and
science to describe relationships
and solve various real-world
problems, ranging from simple to
complex.
Page 4


Polynomials
3x + 2x
2x+1
CLASS - 10
Algebraic Expressions
An algebraic expression is a combination of numbers,
letters (representing variables), and symbols used for
mathematical operations.
What is a POLYNOMIAL?
A polynomial is a mathematical
expression made up of numbers
and variables, like "3x + 2." It's a
versatile tool used in math and
science to describe relationships
and solve various real-world
problems, ranging from simple to
complex.
Types of Polynomials
a) Monomial – A polynomial with just one term.
Example: 2x, 6x², 9xy
b) Binomial – A polynomial with two unlike terms.
Example: 4x² + x, 5x + 4
c) Trinomial – A polynomial with three unlike terms.
Example: x² + 3x + 4
Page 5


Polynomials
3x + 2x
2x+1
CLASS - 10
Algebraic Expressions
An algebraic expression is a combination of numbers,
letters (representing variables), and symbols used for
mathematical operations.
What is a POLYNOMIAL?
A polynomial is a mathematical
expression made up of numbers
and variables, like "3x + 2." It's a
versatile tool used in math and
science to describe relationships
and solve various real-world
problems, ranging from simple to
complex.
Types of Polynomials
a) Monomial – A polynomial with just one term.
Example: 2x, 6x², 9xy
b) Binomial – A polynomial with two unlike terms.
Example: 4x² + x, 5x + 4
c) Trinomial – A polynomial with three unlike terms.
Example: x² + 3x + 4
DEGREE OF A POLYNOMIAL
The degree of a polynomial is the highest power of
the variable, like the "2" in "x²." It helps us understand
the shape of the polynomial's graph – higher
degrees can have more complex curves, while
lower degrees are simpler. It's a way to describe
how "big" or "complex" a polynomial is in terms of its
variables.