Higher Maths 2 Extended Notes.pdf

HIGHER SECONDARY CERTIFICATE 2028 Science Group • English Version • Dhaka Education Board Higher Mathematics Second Paper Subject Code 266 Complete Chapter Notes Full syllabus • Labelled diagrams • Board style questions Prepared by Md Ahbab Hamid Khan ahbab.dev September 6, 2026

HSC 2028 • Higher Mathematics Second Paper • Code 266 1 Contents 1 Real Numbers and Inequalities 6 1.1 What this chapter is about . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.2 Syllabus map . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.3 Every definition you need . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.4 Every formula, derived . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 1.5 A method for every problem type . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 1.6 Worked board style questions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 1.7 Practice problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 1.8 Common mistakes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 1.9 Board tips . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 1.10 Chapter 1 cheat sheet . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 2 Linear Programming 24 2.1 What this chapter is about . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

HSC 2028 • Higher Mathematics Second Paper • Code 266 2 4 Polynomials and Polynomial Equations 64 4.1 What this chapter is about . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64 4.2 Syllabus map . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64 4.3 Every definition you need . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65 4.4 Every formula, derived . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66 4.5 A method for every problem type . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70 4.6 Worked board style questions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72 4.7 Practice problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80 4.8 Common mistakes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81 4.9 Board tips . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82 4.10 Chapter 4 cheat sheet . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82 5 Binomial Expansion 85 5.1 What this chapter is about . . . . . . . . . . . . . . . . . . . . . . . . . . . .