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Classification of Polynomials, Class 8 Video Lecture

FAQs on Classification of Polynomials, Class 8 Mathematics

1. What is a polynomial?
Ans. A polynomial is an algebraic expression consisting of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication. It can have one or more terms, and the exponent of each term should be a non-negative integer.
2. How are polynomials classified?
Ans. Polynomials are classified based on the number of terms they have. A polynomial with one term is called a monomial, with two terms is called a binomial, and with three terms is called a trinomial. Polynomials with more than three terms are generally referred to as 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 has a negative exponent, it is not a polynomial but a rational function.
4. 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 is determined by looking at the exponents of the terms in the polynomial. For example, if the highest exponent in a polynomial is 3, then the degree of the polynomial is 3.
5. How do you classify a polynomial by degree?
Ans. Polynomials can be classified into different degrees based on the degree of their highest exponent. If the degree is 0, the polynomial is a constant. If the degree is 1, the polynomial is linear. If the degree is 2, the polynomial is quadratic. If the degree is 3, the polynomial is cubic. And so on.
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