Factorising Hard Trinomials Step-by-Step | CAPS & IEB Maths | SG019

SG019 Video Solution — Hard Trinomial Factorisation In this lesson, we factorise: 1.0.14.6 3x^2 + 11x + 6 To factorise this trinomial, first multiply: 3 × 6 = 18 Now find two numbers that: • multiply to 18 • add to 11 The numbers are 9 and 2. Split the middle term: 3x^2 + 11x + 6 = 3x^2 + 9x + 2x + 6 Group the terms: = (3x^2 + 9x) + (2x + 6) Factorise each group: = 3x(x + 3) + 2(x + 3) Therefore: 3x^2 + 11x + 6 = (3x + 2)(x + 3) You will learn how to: • factorise trinomials where the coefficient of x^2 is not 1 • split the middle term correctly • use grouping to finish the factorisation • find the correct factor pair Video Solution Code: SG019 Topic: Factorisation — Hard Trinomials Curriculum: CAPS & IEB Mathematics #Factorisation #Trinomials #CAPSMaths #IEBMaths #SirGuruMathematics