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Concept Maps

Polynomials — Concept Maps

Maharashtra Board · Class 9 · Mathematics

3 concept maps of Polynomials for Maharashtra Board Class 9 Mathematics, each also written out as a text outline.

45 questions28 flashcards2 formulas & key relations5 concepts

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3 Concept Maps

Decision tree for identifying whether an algebraic expression is a polynomial based on the exponents of variables

Decision tree for identifying whether an algebraic expression is a polynomial based on the exponents of variables

The map in words

  • Algebraic Expression
    • All variables have whole number powers?
      • Yes: POLYNOMIAL
        • Valid for this chapter
      • No: NOT a Polynomial
        • Not covered in polynomial study
  • Check all exponents: 0, 1, 2, 3, ...

Step-by-step process to find the degree of a polynomial in one variable

Step-by-step process to find the degree of a polynomial in one variable

The map in words

  • Polynomial p(x
    • Find all exponents of variable x
      • Identify the HIGHEST exponent
        • That highest exponent is the DEGREE
  • Example: 3x⁵ + 2x³ - x + 1
    • Exponents: 5, 3, 1, 0
      • Highest: 5
        • Degree = 5

Process to calculate degree for polynomials with multiple variables

Process to calculate degree for polynomials with multiple variables

The map in words

  • Polynomial in multiple variables
    • For each term, add all exponents
      • Term 1 sum
        • Find MAXIMUM sum
          • This maximum is the DEGREE
      • Term 2 sum
      • Term n sum
  • Example: 2x³y² + x²y⁴ + xy
    • Sums: 5, 6, 2
      • Maximum = 6
        • Degree = 6

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Frequently Asked Questions

What are the important topics in Polynomials for Maharashtra Board Class 9 Mathematics?
Key topics in Polynomials include Introduction to Polynomials, Degree of a Polynomial, Standard Form, Index Form, and Coefficient Form, Value of a Polynomial. 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 for identifying whether an algebraic expression is a polynomial based on the exponents of variables; Step-by-step process to find the degree of a polynomial in one variable. 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.

More resources for Polynomials

All Maharashtra Board Class 9 Mathematics Concept Maps

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