RISE Batch Class 10 – Lecture 3: Polynomials | Complete Chapter Start From Zero | CBSE | UP Board

RISE Batch Class 10 – Lecture 3: Polynomials | Start from Zero to Top | CBSE | UP Board | JEE Foundation
📘 Welcome to Lecture 01 of the RISE Batch 2026 by Ehtisham Sir at MathSciNet Coaching Institute!
In this first class of Class 10 Maths (Chapter: Polynomials), we begin with basic to advanced concepts — designed with a strong focus on CBSE, ICSE, UP Board, and competitive exams like JEE Foundation and NTSE.

📚 What You’ll Learn in This Lecture:
🔹 Introduction to Polynomials
🔹 Terms, Constants, Variables, Coefficients
🔹 Types of Polynomials (Monomial, Binomial, Trinomial)
🔹 Degree of a Polynomial
🔹 Linear, Quadratic, Cubic Polynomials
🔹 Standard Form
🔹 Concept Building + NCERT & Extra Foundation Questions
Topics Covered
Introduction to Polynomials

Algebraic Expressions vs Polynomials

Terms, Coefficients, Variables, Constants

Degree of a Polynomial

Types of Polynomials based on Terms
 ▪ Monomial
 ▪ Binomial
 ▪ Trinomial
 ▪ Polynomial (general form)

Types of Polynomials based on Degree
 ▪ Zero Polynomial
 ▪ Constant Polynomial
 ▪ Linear Polynomial
 ▪ Quadratic Polynomial
▪ Cubic Polynomial

Standard Form of a Polynomial

Value of a Polynomial at a Given Point

Zeroes (Roots) of a Polynomial

Geometrical Meaning of Zeroes (Graphical Representation)

Relationship Between Zeroes and Coefficients
 ▪ For Quadratic Polynomials
 ▪ For Cubic Polynomials (extension for foundation)

Verification of Relationship Between Zeroes and Coefficients

Factorisation of Polynomials
 ▪ By taking common factor
 ▪ By middle term splitting
 ▪ By identity usage (a² - b², etc.)
 ▪ Using Factor Theorem

Factor Theorem

Remainder Theorem

Application of Factor and Remainder Theorems
Forming a Polynomial When Zeroes are Given

Finding Zeroes When Polynomial is Given

Division of Polynomials (optional/competitive)

MCQs & HOTS (Higher Order Thinking Skills)

Previous Year Board Questions

Foundation Level Questions (NTSE / JEE Basics)
💡 Concepts Taught in Hinglish – Easy to Understand & Board Focused
This is not just a lecture — it’s a smart blend of board preparation and JEE foundation. Explained in a way that even a weak student can build strong command in maths!

📍MathSciNet Coaching Institute – Ramnagar Colony, Khairanpur, Rudauli, Ayodhya
🎓 Taught by: Ehtisham Khan (Founder & Maths Faculty)
🆓 Offline Weekly Tests | DPPs | Full Guidance
💰 Fee Starts @ ₹499/year (Limited Offer)
📝 Register Now: https://tinyurl.com/Enrollment-Form-2025-26

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Видео RISE Batch Class 10 – Lecture 3: Polynomials | Complete Chapter Start From Zero | CBSE | UP Board канала MathSciNet