Polynomials
Maharashtra Board · Class 9 · Mathematics
Quick revision notes for Polynomials — Maharashtra Board Class 9 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
Key Topics to Revise
Introduction to Polynomials
- A polynomial is an algebraic expression where all powers of variables are whole numbers (0, 1, 2, 3, ...)
- Examples: x³ + 2x² + 5, 3y² - 7y + 1, 5 (constant polynomial)
- Non-polynomials: √x + 5, 1/x - 3, x^(-2) + 1 (powers are not whole numbers)
Degree of Polynomials
- For one variable: Degree = highest power of the variable
- For multiple variables: Degree = highest sum of powers in any term
- Degree of non-zero constant polynomial = 0
Forms of Polynomials
- Standard form: Terms arranged in descending order of powers
- Index form: All missing terms included with coefficient 0
- Coefficient form: Only coefficients written in order
Operations on Polynomials
- Addition/Subtraction: Combine like terms (same power)
- Multiplication: Use distributive property and laws of indices
- Division: Use long division or synthetic division method
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Polynomials covers several key topics that are frequently asked in Maharashtra Board Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
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