Factorize X^2 + 12/35 X + 1/35 - Mathematics

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Factorize `x^2 + 12/35 x + 1/35`

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Solution

Splitting the middle term,

`= x^2 + 5/35 x + 7/35 x + 1/35`               `[∵ 12/35 = 5/35 + 7/35   and 5/35 xx 7/35 = 1/35]`

`= x^2 + x/7 + x/5 + 1/35`

`= x(x + 1/7)+ 1/5(x + 1/7)`

`= (x + 1/7)(x + 1/5)`

`∴ x^2 + 12/35 x + 1/35 = (x + 1/7)(x + 1/5)`

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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 14 | Page 9

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