Important Questions: Polynomials

Class 8 Maths Chapter 2 Important Question Answers - Polynomials

Mathematics (Maths) Class 10

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FAQs on Class 8 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.

Mathematics (Maths) Class 10

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