[ 6x^2 + 5x 6; #160;= 6x^2 + 9x 4x 6; #160;= 3x( 2x + 3) 2( 2x + 3); #160;= ( 3x 2)( 2x + 3) ] ...

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Roots of Quadratic Equation

Factorise: ...

Question

Factorise: $6 x^{2} + 5 x - 6$ .

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Solution

$\begin{matrix} 6 x^{2} + 5 x - 6 = 6 x^{2} + 9 x - 4 x - 6 = 3 x (2 x + 3) - 2 (2 x + 3) = (3 x - 2) (2 x + 3) \end{matrix}$

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