Ex 2.5, 15 - Give possible expressions for length & breadth - Factorisation by middle term

  1. Chapter 2 Class 9 Polynomials
  2. Serial order wise
Ask Download

Transcript

Ex 2.5, 15 Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given: (i) Area : 25a2 – 35a + 12 First we factorize 25a2 – 35a + 12 We factorize using the splitting the middle term method = 25a2 – 15a – 20a + 12 = 5a(5a – 3) – 4(5a – 3) = (5a – 3) (5a – 4) Hence, Area = (5a – 3) (5a – 4) Area = Length × Breadth Hence, there are two possibilities Ex 2.5, 15 Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given: (ii) Area : 35y2 + 13y – 12 First we factorize 35y2 + 13y – 12 We factorize using the splitting the middle term method = 35y2 + 28y – 15y – 12 = 7y(5y + 4) – 3 (5y + 4) = (5y + 4) (7y – 3) Hence, Area = (5y + 4) (7y – 3) Area = Length × Breadth Hence, there are two possibilities

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
Jail