Higher Mathematics 2

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.tech November 7, 2026

HSC 2028 • Higher Mathematics Second Paper • Code 266 1 Contents 1 Real Numbers and Inequalities 3 1.1 What this chapter is about . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.2 Syllabus map . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.3 Every definition you need . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.4 Every formula, derived . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.5 A method for every problem type . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 1.6 Worked board style questions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 1.7 Practice problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 1.8 Common mistakes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 1.9 Board tips . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 1.10 Chapter 1 cheat sheet . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 2 Linear Programming 21 2.1 What this chapter is about . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

HSC 2028 • Higher Mathematics Second Paper • Code 266 2 4 Polynomials and Polynomial Equations 61 4.1 What this chapter is about . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 4.2 Syllabus map . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 4.3 Every definition you need . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 4.4 Every formula, derived . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63 4.5 A method for every problem type . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67 4.6 Worked board style questions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69 4.7 Practice problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77 4.8 Common mistakes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78 4.9 Board tips . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79 4.10 Chapter 4 cheat sheet . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79 5 Binomial Expansion 82 5.1 What this chapter is about . . . . . . . . . . . . . . . . . . . . . . . . . . . .