Ex 2.5, 15 - Chapter 2 Class 9 Polynomials

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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