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Polynomials Video Lecture - (Maths) Class 10
FAQs on Polynomials
| 1. What are polynomials in mathematics? |  |
Ans. Polynomials are algebraic expressions that consist of variables raised to non-negative integer powers, combined using addition, subtraction, and multiplication. A polynomial can be represented in the form P(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + ... + a₁x + a₀, where aₙ, aₙ₋₁, ..., a₁, a₀ are coefficients and n is a non-negative integer indicating the degree of the polynomial.
| 2. How do you classify polynomials based on their degree? | |
Ans. Polynomials can be classified based on their degree as follows: A polynomial of degree 0 is called a constant polynomial (e.g., P(x) = 5). A polynomial of degree 1 is a linear polynomial (e.g., P(x) = 2x + 3). A polynomial of degree 2 is a quadratic polynomial (e.g., P(x) = x² + 4x + 4). A polynomial of degree 3 is a cubic polynomial (e.g., P(x) = x³ - 2x² + x), and so on.
| 3. What is the significance of the coefficients in a polynomial? | |
Ans. The coefficients in a polynomial are the numerical factors that multiply the variables. They determine the shape and position of the graph of the polynomial function. For example, in the polynomial P(x) = 3x² - 2x + 1, the coefficient 3 indicates the parabola opens upwards and is steeper compared to a polynomial with a smaller leading coefficient.
| 4. What are the different types of polynomials based on the number of terms? | |
Ans. Polynomials can also be classified based on the number of terms: A monomial has one term (e.g., 4x), a binomial has two terms (e.g., x + 5), and a trinomial has three terms (e.g., x² + 3x + 2). Polynomials with more than three terms are typically referred to as polynomials without a specific name related to their number of terms.
| 5. How can you add or subtract polynomials? | |
Ans. To add or subtract polynomials, you combine like terms, which are terms that have the same variable raised to the same power. For example, to add P(x) = 2x² + 3x + 4 and Q(x) = x² + 2x + 1, you would combine the like terms: (2x² + x²) + (3x + 2x) + (4 + 1) = 3x² + 5x + 5. The process is similar for subtraction, where you subtract the coefficients of like terms.
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Apr 19, 2026 Last updated
Video Description: Polynomials for Class 10 2026 is part of Mathematics (Maths) Class 10 preparation. The notes and questions for Polynomials have been prepared according to the Class 10 exam syllabus. Information about Polynomials covers all important topics for Class 10 2026 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Polynomials.
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Video: Polynomials of Maths Class 10 have been curated by the Class 10 experts, helping you revise the topic quickly for exam preparation. Watch on EduRev.
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Here you can find the meaning of Polynomials defined & explained in the simplest way possible. Besides explaining types of Polynomials theory, EduRev gives you an ample number of questions to practice Polynomials tests, examples and also practice Class 10 tests.
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