Degree of Polynomial MCQs Quiz | Class 9

Practice this Class IX Mathematics (Code 041) quiz on Unit II: Algebra, specifically focusing on the Degree of Polynomial. This quiz covers the degree concept and identifying degree from the highest power of the variable. Submit your answers to view your score and download the detailed answer sheet PDF.

Degree of Polynomial: Overview

In Class 9 Algebra, the degree of a polynomial is a fundamental concept. It is defined as the highest power of the variable in a polynomial expression. Understanding the degree helps in classifying polynomials (linear, quadratic, cubic, etc.) and is crucial for further studies in algebraic equations.

Key Concepts

  • Definition: The greatest exponent (power) of the variable in the polynomial.
  • Standard Form: It is often easier to find the degree when the polynomial is written in descending order of powers.
  • Constant Polynomial: A polynomial containing only a non-zero constant term has a degree of 0 (e.g., 5 is 5x^0).
  • Zero Polynomial: The degree of the zero polynomial (0) is not defined.
  • Multi-term Expressions: In expressions like 4x^3 + 2x^5 – 7, the term with the highest power (2x^5) determines the degree (5).

Classification by Degree

Degree Name Example
0 Constant 7, -2
1 Linear 2x + 3
2 Quadratic x^2 – 4
3 Cubic x^3 + 2x

Quick Revision Notes

  • Always simplify the expression before finding the degree (e.g., multiply factors).
  • Look for the variable with the largest exponent.
  • If there is no variable written with a constant (e.g., 8), the degree is 0.
  • If the polynomial is just “0”, the degree is undefined.

Extra Practice Questions

  1. Identify the degree: 7x^6 – 2x + 9.
  2. What is the degree of (x + 2)(x + 3)?
  3. Classify x^2 + x as linear, quadratic, or cubic.
  4. Write a binomial of degree 35.
  5. Is the degree of 5x^0 zero or one?