Factorize 2x^2 - 5/6x + 1/12 - Mathematics

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Factorize `2x^2 - 5/6x + 1/12`

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Solution

Splitting the middle term,

`= 2x^2 - x/2 - x/3 + 1/12`               `[∵ -5/6 = -1/2 - 1/3 " also " -1/2 xx - 1/3 = 2 xx 1/12]`

`= x(2x - 1/2) - 1/6(2x - 1/2)`

`= (2x - 1/2)(x - 1/6)`

`∴ 2x^2 - 5/6 x + 1/12 = (2x - 1/2)(x - 1/6)`

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Chapter 5: Factorisation of Algebraic Expressions - Exercise 5.1 [Page 9]

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RD Sharma Mathematics for Class 9
Chapter 5 Factorisation of Algebraic Expressions
Exercise 5.1 | Q 13 | Page 9

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