Polynomials
Kerala Board · Class 10 · Mathematics
Quick revision notes for Polynomials — Kerala Board Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
Key Topics to Revise
Definition and Types of Polynomials
- A polynomial in x is an algebraic expression of the form axⁿ where a is real, a ≠ 0, and n is a whole number
- Degree of polynomial = highest power of variable
- Linear polynomial: degree 1 (ax + b)
Value and Zeros of Polynomials
- Value of p(x) at x = k is denoted as p(k)
- Zero of polynomial p(x) is value of x where p(x) = 0
- Real number k is zero of p(x) if p(k) = 0
Geometrical Meaning of Zeros
- Zeros are x-coordinates where graph intersects X-axis
- Linear polynomial graph intersects X-axis at exactly one point
- Quadratic polynomial can intersect X-axis at 0, 1, or 2 points
Relationship Between Zeros and Coefficients
- For quadratic ax² + bx + c with zeros α, β:
- Sum of zeros: α + β = -b/a
- Product of zeros: αβ = c/a
Get complete notes with diagrams and examples
Full NotesKey Concepts
Get detailed revision notes for Polynomials
Super Tutor gives you interactive content for every chapter of Kerala Board Class 10 Mathematics — summaries, quizzes, flashcards, and more.
Try Super Tutor — It's FreeFrequently Asked Questions
What are the important topics in Polynomials for Kerala Board Class 10 Mathematics?
Polynomials covers several key topics that are frequently asked in Kerala Board Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Polynomials — Kerala Board Class 10 Mathematics?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision before the exam.
Sources & Official References
- Kerala Board of Public Examinations — keralapareekshabhavan.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More Resources for Polynomials
Important Questions
Practice with board exam-style questions
Syllabus
What topics to cover
Study Plan
Step-by-step plan to ace this chapter
Flashcards
Quick-fire cards for active recall
Formula Sheet
All formulas in one place
Chapter Summary
Understand the chapter at a glance
Practice Quiz
Test yourself with a quick quiz
Concept Maps
See how topics connect visually