Polynomials — Concept Maps
Punjab Board · Class 9 · Mathematics
3 concept maps of Polynomials for Punjab Board Class 9 Mathematics, each also written out as a text outline. Maps: Polynomials - Complete Concept Overview.
Interactive on Super Tutor
Studying Polynomials? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for concept maps and more.
Free trial, no card needed.
One of 3 illustrations for Polynomials in Super Tutor — alongside flashcards, concept maps and practice questions.
Polynomials - Complete Concept Overview
The map in words
- POLYNOMIALS
- Definition
- Variables with whole exponents
- Algebraic expressions
- Not fractions or roots
- Classification
- By Number of Terms
- Monomial 1 term
- Binomial 2 terms
- Trinomial 3 terms
- By Degree
- Linear degree 1
- Quadratic degree 2
- Cubic degree 3
- By Number of Terms
- Components
- Terms
- Individual parts
- Coefficients
- Numerical factors
- Degree
- Highest power
- Constants
- Number terms
- Terms
- Operations
- Finding Zeroes
- Setting p x equals 0
- Solving equations
- Factorization
- Factor Theorem
- Splitting method
- Evaluation
- Substitution
- Finding p a
- Finding Zeroes
- Theorems
- Remainder Theorem
- Remainder is p a
- Factor Theorem
- Zero equals factor
- Remainder Theorem
- Identities
- Sum Square
- x plus y squared
- Difference Square
- x minus y squared
- Cube Formulas
- x plus y cubed
- x minus y cubed
- Special Forms
- Three variable
- Sum of cubes
- Sum Square
- Definition
Polynomials Concepts Overview
The map in words
- Polynomials
- Definition and Basics
- Variables and Constants
- Degree of Polynomial
- Terms and Coefficients
- Classification by Degree
- Linear Polynomial
- Quadratic Polynomial
- Cubic Polynomial
- Evaluating Polynomials
- Substitution Method
- Finding Values at Points
- Zeroes and Roots
- Factorization Methods
- Factor Theorem
- Remainder Theorem
- Splitting Middle Term
- Cubic Factorization
- Algebraic Identities
- (x + y)² Identity
- (x - y)² Identity
- Difference of Squares
- Trinomial Expansion
- Cubic Identities
- (x + y)³
- (x - y)³
- Three Variable Identity
- Applications
- Mental Mathematics
- Expanding Products
- Factoring Complex Expressions
- Problem Solving
- Definition and Basics
Decision flowchart to determine if an expression is a polynomial based on whether all exponents are whole numbers
The map in words
- Algebraic Expression
- All exponents whole numbers?
- Yes: Polynomial
- No: Not a Polynomial
- All exponents whole numbers?
- Example: x² + 2x + 1
- Example: x⁻¹ + 3
Explore these maps interactively
Explore DiagramsFrequently Asked Questions
What are the important topics in Polynomials for Punjab Board Class 9 Mathematics?
What do the concept maps for Polynomials show?
How should I revise Polynomials for Class 9 exams?
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Polynomials
Practice Quiz
Test yourself with a quick quiz
Important Questions
Exam-style questions with answers
Revision Notes
Key points for last-minute revision
Formula Sheet
The chapter's formulas in one place
Chapter Summary
Understand the chapter at a glance
Flashcards
Quick-fire cards for active recall
Syllabus
What topics to cover
For serious students
Get the full Polynomials chapter — start free.
Quizzes, flashcards, an AI doubt solver and a study plan for Punjab Board Class 9 Mathematics. Free to start, no card needed.