We have, [ 2 x^ 2 7x 15; =2 x^ 2 10x+3x 15; =2x( x 5 ) +3( x 5 ) #160;; =( x 5 ) ( 2x+3 ) #160; ] He ...

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Factorisation by Common Factors

Factorize:- ...

Question

Factorize:-
$2 x^{2} - 7 x - 15$

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Solution

We have,
$\begin{matrix} 2 x^{2} - 7 x - 15 = 2 x^{2} - 10 x + 3 x - 15 = 2 x (x - 5) + 3 (x - 5) = (x - 5) (2 x + 3) \end{matrix}$

Hence, this is the answer.

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