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Polynomials in One Variable and Degree of a Polynomial Video Lecture - Class 9
FAQs on Polynomials in One Variable and Degree of a Polynomial Video Lecture - Class 9
| 1. What is a polynomial in one variable? |  |
Ans. A polynomial in one variable is an algebraic expression consisting of one variable, coefficients, and exponents. It is a sum of terms, where each term is a product of a coefficient and a variable raised to a non-negative integer power.
| 2. What is the degree of a polynomial? | |
Ans. The degree of a polynomial is the highest power of the variable in the polynomial. It is determined by looking at the exponent of the variable in each term and finding the largest exponent.
| 3. How can we identify the degree of a polynomial? | |
Ans. To identify the degree of a polynomial, we need to observe the exponents of the variable in each term and find the term with the highest exponent. The degree of the polynomial is equal to this highest exponent.
| 4. Can a polynomial have a degree of zero? | |
Ans. Yes, a polynomial can have a degree of zero. In this case, the polynomial is a constant term without any variable. For example, the polynomial "5" has a degree of zero.
| 5. What is the importance of understanding the degree of a polynomial? | |
Ans. Understanding the degree of a polynomial helps in various mathematical operations, such as addition, subtraction, multiplication, and division of polynomials. It provides information about the behavior and properties of the polynomial, including the number of possible solutions and the general shape of the graph.
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