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Chapter 2 of 12
Concept Maps

Polynomials — Concept Maps

Gujarat Board · Class 9 · Mathematics

3 concept maps of Polynomials for Gujarat Board Class 9 Mathematics, each also written out as a text outline. Maps: Decision tree to identify whether.

45 questions30 flashcards4 formulas & key relations5 concepts

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A labeled diagram illustrating the general form of a polynomial, distinguishing between real and complex polynomials by highlighting the nature of coefficients and variables. Also includes the definit
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One of 2 illustrations for Polynomials in Super Tutor — alongside flashcards, concept maps and practice questions.

3 Concept Maps

Decision tree to identify whether an expression is a polynomial based on exponents and coefficients

Decision tree to identify whether an expression is a polynomial based on exponents and coefficients

The map in words

  • Algebraic Expression
    • All exponents whole numbers?
      • Yes: All coefficients real?
        • Yes: Is a Polynomial
          • Examples: 3x+5, x²+2x+1
        • No: Not a Polynomial
          • Examples: 1/x, √x, x⁻²

Breaking down a polynomial into its constituent parts showing terms, coefficients, and degree

Breaking down a polynomial into its constituent parts showing terms, coefficients, and degree

The map in words

  • Polynomial: 3x³ - 5x² + 2x - 7
    • Term: 3x³
      • Coeff: 3, Power: 3
        • Degree: 3
          • Leading Coeff: 3
    • Term: -5x²
      • Coeff: -5, Power: 2
    • Term: 2x
      • Coeff: 2, Power: 1
    • Term: -7
      • Coeff: -7, Power: 0

Mind map showing polynomial classification by number of terms

Mind map showing polynomial classification by number of terms

The map in words

  • Polynomials
    • By Terms
      • Monomial
        • One term
        • 5x or 7x²
      • Binomial
        • Two terms
        • x + 5
      • Trinomial
        • Three terms
        • x² + 2x + 1
      • General
        • Any number of terms

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Frequently Asked Questions

What are the important topics in Polynomials for Gujarat Board Class 9 Mathematics?
Key topics in Polynomials include Polynomials in One Variable – Definitions and Classification, Zeroes of a Polynomial, Remainder Theorem, Factor Theorem and Factorisation of Polynomials. Study these first, then practise questions on each for Class 9 exams.
What do the concept maps for Polynomials show?
The 3 maps show how the ideas in Polynomials connect: Decision tree to identify whether an expression is a polynomial based on exponents and coefficients; Breaking down a polynomial into its constituent parts showing terms, coefficients, and degree. Each map is also written out as an outline on this page.
How should I revise Polynomials for Class 9 exams?
Learn the core ideas first, then work through the 45 practice questions on Polynomials. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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