Skip to main content
Super TutorResources
Chapter 2 of 14
QuestionsNotesFlashcardsSummaryFormulasQuizConceptsSyllabusPlan
Revision Notes

Polynomials

Jharkhand Board · Class 10 · Mathematics

Quick revision notes for Polynomials — Jharkhand Board Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

56 questions20 flashcards5 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 revision notes and more.

Try Super Tutor — Free

1,000+ Class 10 students started this chapter today

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

Learn better with visuals Super Tutor has hundreds of illustrations like this across every chapter — all free to try.

Get started

Key Topics to Revise

1

Types of Polynomials Based on Degree

  • Degree of a polynomial is the highest power of the variable in the polynomial
  • Linear polynomial: Degree 1 (Example: 2x - 3, √3x + 5)
  • Quadratic polynomial: Degree 2 (Example: 2x² - 3x + 5, y² - 2)
2

Value of a Polynomial and Zeros

  • Value of polynomial p(x) at x = k is denoted as p(k)
  • To find p(k), substitute x = k in the polynomial expression
  • A real number k is called a zero of polynomial p(x) if p(k) = 0
3

Geometric Representation and Graphs

  • Graph of linear polynomial y = ax + b is a straight line
  • Linear polynomial has exactly one zero (x-intercept)
  • Graph of quadratic polynomial y = ax² + bx + c is a parabola
4

Relationship Between Zeros and Coefficients

  • For quadratic polynomial ax² + bx + c with zeros α and β:
  • Sum of zeros: α + β = -b/a
  • Product of zeros: αβ = c/a

Get complete notes with diagrams and examples

Full Notes

Key Concepts

Polynomials are classified by degreeA zero of polynomial p(x)Zeros are xFor quadratic ax² + bx +A polynomial of degree n can

Frequently Asked Questions

What are the important topics in Polynomials for Jharkhand Board Class 10 Mathematics?
Key topics in Polynomials include Polynomials - Full Chapter Concept Map, Polynomials Chapter — Complete Concept Map, How to Apply Zeroes-Coefficient Formulas Correctly. These are the concepts Jharkhand Board Class 10 examiners draw on most — study them first, then practise related questions.
How to score full marks in Polynomials — Jharkhand Board Class 10 Mathematics?
Understand the core concepts first, then work through the 56 practice questions available for this chapter. Revise formulas and 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 14 chapters — Jharkhand Board Class 10 Mathematics Revision Notes

For serious students

Get the full Polynomials chapter — for free.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for Jharkhand Board Class 10 Mathematics.

Try Super Tutor Free
Try the full chapter — Free