Skip to main content
Super TutorResources
Chapter 2 of 14
Concept Maps

Polynomials — Concept Maps

Gujarat Board · Class 10 · Mathematics

3 concept maps of Polynomials for Gujarat Board Class 10 Mathematics, each also written out as a text outline.

45 questions28 flashcards10 formulas & key relations5 concepts

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.

Try Super Tutor — Free

Free trial, no card needed.

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
Super Tutor

One of 6 illustrations for Polynomials in Super Tutor — alongside flashcards, concept maps and practice questions.

3 Concept Maps

Polynomials - Complete Chapter Overview

Polynomials - Complete Chapter Overview

The map in words

  • Polynomials
    • Types by Degree
      • Linear
        • Degree 1
        • Form ax plus b
        • 1 zero
      • Quadratic
        • Degree 2
        • Form ax squared plus bx plus c
        • At most 2 zeroes
      • Cubic
        • Degree 3
        • Form ax cubed plus bx squared plus cx plus d
        • At most 3 zeroes
    • Zeroes
      • Definition
        • p of k equals 0
      • Geometrical Meaning
        • x-intercepts of graph
      • Linear has 1 zero
      • Quadratic has 0 1 or 2 zeroes
      • Cubic has 1 2 or 3 zeroes
    • Quadratic Relations
      • Sum equals negative b over a
      • Product equals c over a
      • Form polynomial from zeroes
    • Cubic Relations
      • Sum equals negative b over a
      • Sum of pairs equals c over a
      • Product equals negative d over a
    • Division Algorithm
      • Dividend equals Divisor times Quotient plus Remainder
      • Find remaining zeroes
      • Verify factors

Problem-Solving Strategy for Finding Zeroes of Polynomials

Problem-Solving Strategy for Finding Zeroes of Polynomials

The map in words

  • Given Polynomial
    • What is the Degree?
      • Degree 1: Linear Polynomial
        • Use Formula: Zero = -b/a
          • One Zero
            • Verify: p(zero) = 0
              • Solution Complete
      • Degree 2: Quadratic Polynomial
        • Can it be Factored?
          • Yes: Factorise by Splitting Middle Term
            • Set Each Factor = 0
              • At Most 2 Zeroes
          • No: Use Quadratic Formula
      • Degree 3: Cubic Polynomial
        • Check for Common Factors
          • Has Common Factor: Factor Out the Common Term
            • Reduce to Lower Degree
              • At Most 3 Zeroes
          • No Common Factor: Try Grouping or Special Form

Polynomials – Complete Chapter Overview

Polynomials – Complete Chapter Overview

The map in words

  • Polynomials
    • Types by Degree
      • Degree 1
        • Linear ax plus b
        • One zero
      • Degree 2
        • Quadratic ax2 plus bx plus c
        • At most 2 zeroes
      • Degree 3
        • Cubic ax3 plus bx2 plus cx plus d
        • At most 3 zeroes
    • Zeroes of Polynomial
      • Definition
        • p of k equals 0
      • Linear zero
        • k equals negative b over a
      • Max zeroes
        • Equal to degree n
    • Geometrical Meaning
      • Linear Graph
        • Straight line
        • Cuts x axis once
      • Quadratic Graph
        • Parabola shape
        • a greater 0 opens up
        • a less 0 opens down
        • 2 cuts two zeroes
        • 1 touch one zero
        • 0 cuts no zeroes
      • Cubic Graph
        • Cuts x axis 1 to 3 times
    • Zeroes and Coefficients
      • Quadratic
        • Sum alpha plus beta equals negative b over a
        • Product alpha beta equals c over a
      • Cubic
        • Sum equals negative b over a
        • Pair sum equals c over a
        • Triple product equals negative d over a
    • Forming Polynomial
      • From zeroes alpha beta
        • x squared minus sum x plus product
      • From zeroes alpha beta gamma
        • x cubed minus sum x squared plus pairsum x minus product

Explore these maps interactively

Explore Diagrams

Frequently Asked Questions

What are the important topics in Polynomials for Gujarat Board Class 10 Mathematics?
Key topics in Polynomials include Types of Polynomials – A Quick Recall, Zeroes of a Polynomial, Geometrical Meaning of Zeroes of a Polynomial, Relationship Between Zeroes and Coefficients of a Quadratic Polynomial. Study these first, then practise questions on each for the Gujarat Board Class 10 board exam.
What do the concept maps for Polynomials show?
The 3 maps show how the ideas in Polynomials connect: Polynomials - Complete Chapter Overview; Problem-Solving Strategy for Finding Zeroes of Polynomials. Each map is also written out as an outline on this page.
How should I revise Polynomials for the Gujarat Board Class 10 board exam?
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 Gujarat Board Class 10 Mathematics Concept Maps

For serious students

Get the full Polynomials chapter — start free.

Quizzes, flashcards, an AI doubt solver and a study plan for Gujarat Board Class 10 Mathematics. Free to start, no card needed.

Try Super Tutor Free
Try this chapter free