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Polynomials - Mathematics, Class 8 Video Lecture
FAQs on Polynomials - Mathematics, Class 8 Video Lecture
| 1. What is a polynomial? |  |
Ans. A polynomial is an algebraic expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, multiplication, and non-negative integer exponents. It can have one or more terms, and the degree of a polynomial is determined by the highest exponent in the expression.
| 2. How do you simplify a polynomial expression? | |
Ans. To simplify a polynomial expression, you need to combine like terms. Like terms have the same variables raised to the same exponents. Combine the coefficients of these like terms by performing the indicated operations (addition or subtraction). The simplified form of a polynomial expression has no like terms left and is fully simplified.
| 3. What is the degree of a polynomial? | |
Ans. The degree of a polynomial is the highest exponent of the variable in the expression. For example, if the highest exponent is 3, then the degree of the polynomial is 3. The degree helps determine the behavior and properties of the polynomial, such as whether it is a linear, quadratic, or higher-degree polynomial.
| 4. How do you add or subtract polynomials? | |
Ans. To add or subtract polynomials, you combine like terms by adding or subtracting their coefficients. Start by aligning the like terms vertically, and then perform the indicated operations. If a term does not have a corresponding term in the other polynomial, simply bring it down as it is. The result is a simplified polynomial expression.
| 5. What is the difference between a monomial and a polynomial? | |
Ans. A monomial is a polynomial with only one term, while a polynomial can have multiple terms. Monomials can be constants, variables, or variables raised to a positive integer exponent. On the other hand, polynomials can have addition, subtraction, multiplication, and non-negative integer exponents. The number of terms distinguishes a monomial from a polynomial.
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Dec 20, 2024 Last updated |
Polynomials - Mathematics, Class 8 for Class 82024 is part of Class 8 preparation. The notes and questions for Polynomials - Mathematics, Class 8
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