Types of Polynomials by Degree MCQs Quiz | Class 9
This Class IX Mathematics (Code 041) quiz focuses on Unit II: Algebra, covering the classification of polynomials based on their degree. The questions test your ability to identify and distinguish between constant, linear, quadratic, and cubic polynomials. Attempt all 10 MCQs, submit your answers to see your score, and download the full PDF solution sheet for your exam preparation.
Overview: Types of Polynomials by Degree
In Class 9 Mathematics, understanding polynomials is a fundamental part of Algebra. A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. One of the primary ways to classify polynomials is by their degree, which is the highest power of the variable in the polynomial.
Classification Based on Degree
Here are the four main types of polynomials you need to know for this unit:
1. Constant Polynomial
A polynomial of degree 0. It consists only of non-zero constant numbers.
Example: 5, -3, 100.
Standard Form: k (where k is a constant)
2. Linear Polynomial
A polynomial of degree 1. It represents a straight line when graphed.
Example: 2x + 1, y – 5, 3z.
Standard Form: ax + b (where a is not 0)
3. Quadratic Polynomial
A polynomial of degree 2. The name comes from “quadrate” meaning square.
Example: x^2 + 5x + 6, y^2 – 4.
Standard Form: ax^2 + bx + c (where a is not 0)
4. Cubic Polynomial
A polynomial of degree 3.
Example: x^3 – x, 4z^3 + 2z^2 + 1.
Standard Form: ax^3 + bx^2 + cx + d (where a is not 0)
Quick Summary Table
| Type | Degree | Standard Form | Max Terms |
|---|---|---|---|
| Constant | 0 | a | 1 |
| Linear | 1 | ax + b | 2 |
| Quadratic | 2 | ax^2 + bx + c | 3 |
| Cubic | 3 | ax^3 + bx^2 + cx + d | 4 |
Extra Practice Questions
- Identify the degree of the polynomial: P(x) = 5x^3 – 2x^2 + x – 7.
- Give an example of a binomial of degree 20.
- Is the expression “square root of x + 2” a polynomial? (Hint: Check the exponent).
- Write the standard form of a quadratic polynomial with variables x, coefficients a=2, b=-3, c=5.
- Classify P(y) = y + y^2 + 4 as linear, quadratic, or cubic.
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