Class 9 Exam  >  Class 9 Questions  >  classify the following polynomials based on. ... Start Learning for Free
classify the following polynomials based on. their degree
?
Most Upvoted Answer
classify the following polynomials based on. their degree Related: P...
Classification of Polynomials Based on Degree


Degree of a Polynomial


Degree of a polynomial is defined as the highest power of the variable in the polynomial. For example, the degree of the polynomial 3x^2 + 2x + 1 is 2, as the highest power of x is 2.


Classifying Polynomials Based on Degree


Polynomials can be classified based on their degree as:



  • Constant Polynomial: A polynomial with degree 0 is called a constant polynomial. For example, 5.

  • Linear Polynomial: A polynomial with degree 1 is called a linear polynomial. For example, 3x + 2.

  • Quadratic Polynomial: A polynomial with degree 2 is called a quadratic polynomial. For example, 2x^2 + 3x + 1.

  • Cubic Polynomial: A polynomial with degree 3 is called a cubic polynomial. For example, 4x^3 + 2x^2 + x + 3.

  • Quartic Polynomial: A polynomial with degree 4 is called a quartic polynomial. For example, 5x^4 + 3x^3 + 2x^2 + x + 4.

  • Polynomial of Degree n: A polynomial with degree n is called a polynomial of degree n. For example, 2x^5 + 3x^4 + 7x^3 + 2x^2 + x + 1 is a polynomial of degree 5.



Conclusion


Polynomials can be classified based on their degree as constant, linear, quadratic, cubic, quartic, or a polynomial of degree n. Understanding the degree of a polynomial is important as it helps in solving polynomial equations and understanding the behavior of the polynomial function.
Community Answer
classify the following polynomials based on. their degree Related: P...
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
Explore Courses for Class 9 exam

Top Courses for Class 9

classify the following polynomials based on. their degree Related: Polynomials in One Variable and Degree of a Polynomial?
Question Description
classify the following polynomials based on. their degree Related: Polynomials in One Variable and Degree of a Polynomial? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about classify the following polynomials based on. their degree Related: Polynomials in One Variable and Degree of a Polynomial? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for classify the following polynomials based on. their degree Related: Polynomials in One Variable and Degree of a Polynomial?.
Solutions for classify the following polynomials based on. their degree Related: Polynomials in One Variable and Degree of a Polynomial? in English & in Hindi are available as part of our courses for Class 9. Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of classify the following polynomials based on. their degree Related: Polynomials in One Variable and Degree of a Polynomial? defined & explained in the simplest way possible. Besides giving the explanation of classify the following polynomials based on. their degree Related: Polynomials in One Variable and Degree of a Polynomial?, a detailed solution for classify the following polynomials based on. their degree Related: Polynomials in One Variable and Degree of a Polynomial? has been provided alongside types of classify the following polynomials based on. their degree Related: Polynomials in One Variable and Degree of a Polynomial? theory, EduRev gives you an ample number of questions to practice classify the following polynomials based on. their degree Related: Polynomials in One Variable and Degree of a Polynomial? tests, examples and also practice Class 9 tests.
Explore Courses for Class 9 exam

Top Courses for Class 9

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev