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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.
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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?.
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?.
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