CBSE Class 9 > Class 9 Videos > Polynomials (Chapter 2): CBSE Class 9 IX Maths
Polynomials (Chapter 2) CBSE Class 9 IX Maths Video Lecture
FAQs on Polynomials (Chapter 2): CBSE Class 9 IX Maths
| 1. What is a polynomial? |  |
Ans. A polynomial is an algebraic expression that consists of variables, coefficients, and exponents. It is composed of terms that are added or subtracted together. For example, 3x^2 + 2x - 5 is a polynomial, where 3, 2, and -5 are coefficients, x is the variable, and 2, 1, and 0 are the exponents.
| 2. What is the degree of a polynomial? | |
Ans. The degree of a polynomial is the highest power of the variable in the polynomial expression. It is determined by looking at the exponent of the variable with the highest power. For example, in the polynomial 4x^3 + 2x^2 - 5x + 1, the degree is 3 as the variable x is raised to the power of 3.
| 3. What is a quadratic polynomial? | |
Ans. A quadratic polynomial is a polynomial of degree 2. It is a polynomial expression that consists of a quadratic term (x^2), a linear term (ax), and a constant term (c). The general form of a quadratic polynomial is ax^2 + bx + c, where a, b, and c are coefficients.
| 4. How do you add or subtract polynomials? | |
Ans. To add or subtract polynomials, you combine like terms. Like terms are terms that have the same variable and exponent. You add or subtract the coefficients of these like terms while keeping the variable and exponent the same. For example, to add 3x^2 + 2x - 5 and 2x^2 - 3x + 1, you combine the like terms to get 5x^2 - x - 4.
| 5. How do you multiply polynomials? | |
Ans. To multiply polynomials, you use the distributive property. You multiply each term of one polynomial by each term of the other polynomial and then combine like terms if necessary. For example, to multiply (2x + 3) and (x - 4), you multiply 2x by x and -4, and 3 by x and -4, then combine like terms to get 2x^2 - 5x - 12.
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Apr 20, 2026 Last updated
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