Check sibling questions

Ex 14.3, 5 (ii) - Factorise and divide (m^2 - 14m - 32) Γ· (m + 2)

Ex 14.3, 5 (ii) - Chapter 14 Class 8 Factorisation - Part 2

Introducing your new favourite teacher - Teachoo Black, at only β‚Ή83 per month


Transcript

Ex 14.3, 5 Factorise the expressions and divide them as directed. (ii) (π‘š^2 – 14m – 32) Γ· (m + 2) We first factorise π‘š^2βˆ’14π‘šβˆ’32 By middle term splitting, = π‘š^2 + 2m βˆ’ 16m βˆ’ 32 = (π‘š^2+2π‘š) – (16π‘š+32) = m (m + 2) βˆ’ 16 (m + 2) Taking (m + 2) common, = (m + 2) (m βˆ’ 16) Splitting the middle term We need to find two numbers whose Sum = –14 Product = βˆ’32 So, we write βˆ’14m = 2m βˆ’ 16m Dividing (π‘š^2βˆ’14π‘š+32)Γ·(π‘š+2) = (π‘š^2 βˆ’14π‘š βˆ’32)/((π‘š + 2)) = ((π‘š + 2) (π‘š βˆ’ 16))/((π‘š + 2)) = ((π‘š + 2))/((π‘š + 2)) Γ— (m βˆ’ 16) = (π’Ž βˆ’ 16)

Davneet Singh's photo - Teacher, Engineer, Marketer

Made by

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.