Ex 12.3, 5 (ii) - Chapter 12 Class 8 Factorisation
Last updated at April 16, 2024 by Teachoo
Dividing two polynomials
Dividing polynomial by polynomial
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Transcript
Ex 12.3, 5 Factorise the expressions and divide them as directed. (ii) (๐^2 โ 14m โ 32) รท (m + 2)We first factorise ๐^๐โ๐๐๐โ๐๐ By middle term splitting, = ๐^2 + 2m โ 16m โ 32 = (๐^2+2๐) โ (16๐+32) = m (m + 2) โ 16 (m + 2) Taking (m + 2) common, = (m + 2) (m โ 16) Splitting the middle term We need to find two numbers whose Sum = โ14 Product = โ32 So, we write โ14m = 2m โ 16m Dividing (๐^2โ14๐+32)รท(๐+2) = (๐^2 โ14๐ โ32)/((๐ + 2)) = ((๐ + ๐) (๐ โ ๐๐))/((๐ + ๐)) = ((๐ + 2))/((๐ + 2)) ร (m โ 16) = (๐ โ 16)
