Skip to main content
Super TutorResources
Chapter 2 of 12
QuestionsNotesFlashcardsSummaryFormulasQuizConceptsSyllabusPlan
Syllabus

Polynomials

Himachal Pradesh Board · Class 9 · Mathematics

Complete topic list for Polynomials in Himachal Pradesh Board Class 9 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

29 questions24 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 syllabus and more.

Try Super Tutor — Free

1,000+ Class 9 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
4 Topics · Himachal Pradesh Board Class 9 Mathematics

Topics in Polynomials

1

Introduction to Polynomials

  • A polynomial is an algebraic expression with variables having whole number exponents only
  • Variables are denoted by letters like x, y, z and can take any real value
  • Constants (a, b, c) have fixed values throughout a problem
2

Types of Polynomials

  • Monomial: Polynomial with only one term (e.g., 5x³, -2x, 7)
  • Binomial: Polynomial with exactly two terms (e.g., x² + 3, 2x - 5)
  • Trinomial: Polynomial with exactly three terms (e.g., x² + 2x + 1)
3

Zeros of a Polynomial

  • Zero of polynomial p(x) is a number 'a' such that p(a) = 0
  • Finding zeros involves solving p(x) = 0
  • Linear polynomial has exactly one zero: x = -b/a for ax + b
4

Remainder and Factor Theorems

  • Remainder Theorem: When p(x) is divided by (x - a), remainder = p(a)
  • Factor Theorem: (x - a) is factor of p(x) if and only if p(a) = 0
  • These theorems provide shortcuts for division and factorization

Key Concepts

Central concept: Polynomials

Definition of PolynomialTypes by Number of TermsTypes by DegreeZeroes of a PolynomialRemainder TheoremFactor TheoremAlgebraic IdentitiesFactorisation Methods

Frequently Asked Questions

What are the important topics in Polynomials for Himachal Pradesh Board Class 9 Mathematics?
Key topics in Polynomials include How to Identify if an Expression is a Polynomial, Polynomials Chapter Overview, Polynomials – Complete Chapter Overview. These are the concepts Himachal Pradesh Board Class 9 examiners draw on most — study them first, then practise related questions.
How to score full marks in Polynomials — Himachal Pradesh Board Class 9 Mathematics?
Understand the core concepts first, then work through the 29 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 12 chapters — Himachal Pradesh Board Class 9 Mathematics Syllabus

For serious students

Get the full Polynomials chapter — for free.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for Himachal Pradesh Board Class 9 Mathematics.

Try Super Tutor Free
Try the full chapter — Free