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Video: What is a Polynomial? Video Lecture - Class 9

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FAQs on Video: What is a Polynomial? Video Lecture - Class 9

1. What is a polynomial?
Ans. A polynomial is an algebraic expression consisting of variables, coefficients, and exponents that are combined using addition, subtraction, and multiplication. It can have one or more terms, and the variables can have non-negative integer exponents.
2. How do you identify a polynomial?
Ans. To identify a polynomial, you need to check if the expression contains variables raised to non-negative integer exponents and if the terms are combined using only addition, subtraction, and multiplication. Additionally, the coefficients should be real numbers.
3. What are the different types of polynomials?
Ans. There are several types of polynomials, including monomials (single term), binomials (two terms), trinomials (three terms), and polynomials with more than three terms. Polynomials can also be classified based on their degree, which is the highest exponent in the expression.
4. How do you add or subtract polynomials?
Ans. To add or subtract polynomials, you need to combine like terms. Like terms have the same variables raised to the same exponents. You simply add or subtract the coefficients of the like terms while keeping the variables and exponents unchanged.
5. Can a constant term be a polynomial?
Ans. Yes, a constant term can be considered as a polynomial of degree zero. A polynomial of degree zero has only one term with a non-zero coefficient and no variables. It represents a constant value and can be interpreted as a polynomial with no variables or exponents.
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