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Polynomials Class 8 PPT

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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.
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FAQs on Polynomials Class 8 PPT

1. What is a polynomial?
Ans. A polynomial is an algebraic expression consisting of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication operations. It can have one or more terms, and the exponents of the variables should be non-negative integers.
2. How do you classify polynomials based on the number of terms they have?
Ans. Polynomials can be classified based on the number of terms they have. A polynomial with one term is called a monomial, a polynomial with two terms is called a binomial, and a polynomial with three terms is called a trinomial. Polynomials with more than three terms are simply called polynomials.
3. Can a polynomial have a negative exponent?
Ans. No, a polynomial cannot have a negative exponent. The exponents in a polynomial must be non-negative integers. If a term in a polynomial has a negative exponent, it is not considered a polynomial, but rather a rational function.
4. What is the degree of a polynomial?
Ans. The degree of a polynomial is the highest exponent of the variable in the polynomial. It indicates the highest power to which the variable is raised in any term of the polynomial. The degree helps determine the behavior and properties of the polynomial.
5. How can polynomials be used in real-life applications?
Ans. Polynomials have various real-life applications. They are used in physics to model motion and forces, in economics to analyze supply and demand curves, in engineering to design and analyze circuits, and in computer graphics to create curves and shapes. Polynomials provide a powerful mathematical tool to represent and solve problems in various fields.
124 videos|477 docs|105 tests
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