Class 10 Exam > Class 10 Videos > Mathematics (Maths) Class 10 > Important Questions: Polynomials
Class 10 Maths Chapter 2 Important Question Answers - Polynomials
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FAQs on Class 10 Maths Chapter 2 Important Question Answers - Polynomials
| 1. What is a polynomial? |  |
A polynomial is an algebraic expression consisting of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication operations. It often represents a mathematical function and can have one or more terms.
| 2. How do you determine the degree of a polynomial? | |
The degree of a polynomial is determined by the highest exponent of the variable in any of its terms. For example, if a polynomial has the term 3x^2, then its degree is 2. If there is no variable present, the degree is considered to be zero.
| 3. Can a polynomial have negative exponents? | |
No, a polynomial cannot have negative exponents. Negative exponents indicate that the variable is in the denominator, which would make the expression a rational function, not a polynomial. In a polynomial, all exponents must be non-negative integers.
| 4. What is the difference between a monomial and a polynomial? | |
A monomial is a polynomial with only one term, whereas a polynomial can have multiple terms. For example, 4x^3 is a monomial, while 4x^3 + 2x^2 - 5x is a polynomial with three terms.
| 5. How do you add and subtract polynomials? | |
To add or subtract polynomials, you combine like terms by adding or subtracting the coefficients of the same variables and exponents. For example, to add 3x^2 + 2x - 1 and 2x^2 - 4x + 3, you add the coefficients of each corresponding term: (3x^2 + 2x - 1) + (2x^2 - 4x + 3) = 5x^2 - 2x + 2.
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Dec 25, 2024 Last updated |
Video Description: Important Questions: Polynomials for Class 10 2024 is part of Mathematics (Maths) Class 10 preparation.
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