Class 9 Exam > Class 9 Videos > Mathematics Olympiad for Class 9 > One-Shot: Polynomials
One-Shot: Polynomials Video Lecture | Mathematics Olympiad for Class 9
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FAQs on One-Shot: Polynomials Video Lecture - Mathematics Olympiad for Class 9
| 1. What is a polynomial? |  |
Ans. A polynomial is an algebraic expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication operations. It is expressed as a sum of terms, where each term is a product of a coefficient and one or more variables raised to non-negative integer exponents.
| 2. How do you determine the degree of a polynomial? | |
Ans. The degree of a polynomial is the highest power of the variable in any term of the polynomial. To determine the degree, identify the term with the highest power of the variable and that power will be the degree of the polynomial.
| 3. Can a polynomial have more than one variable? | |
Ans. Yes, a polynomial can have more than one variable. Polynomials with more than one variable are called multivariate polynomials. The variables in a multivariate polynomial are usually denoted by different letters, and the degree of the polynomial is determined by the highest power of the variables.
| 4. What is the difference between a monomial and a polynomial? | |
Ans. A monomial is a polynomial with only one term, while a polynomial consists of one or more terms. In other words, a monomial is a special case of a polynomial where there is no addition or subtraction between terms.
| 5. Why are polynomials important in mathematics? | |
Ans. Polynomials are important in mathematics because they have a wide range of applications in various fields. They are used to model and solve problems in algebra, calculus, physics, engineering, and other areas of science. Polynomials provide a powerful tool for analyzing and representing mathematical relationships and functions.
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Nov 24, 2024 Last updated |
Video Description: One-Shot: Polynomials for Class 9 2024 is part of Mathematics Olympiad for Class 9 preparation.
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