Question

factorise 2x square + 11 x - 21​

Answer 1

$\huge\purple{Required \: Answer :}$

$\huge\sf{To \: Factorise :}$

$2 {x}^{2} + 11x - 21$

$\huge\sf{Solution :}$

$\: \: \: \: \: \: \: \: \: \: 2 {x}^{2} + 11x - 21 =0 \\ 2 {x}^{2} + 14x - 3x - 21 = 0 \\ (2 {x}^{2} + 14x) - (3x + 21) = 0 \\ 2x(x + 7) - 3(x + 7) = 0 \\ \: \: \: \: \: \: \: \: \: \: (x + 7)(2x - 3) = 0 \\ x = -7 \\ x = \frac{3}{2} \: \:$

Therefore, x = -7 or x = 3/2

Answer 2

${2x}^{2} + 11x - 21 \\ {2x}^{2} + 14x - 3x - 21 \\ 2x(x + 7) - 3( x + 7) \\ (x + 7)( 2x - 3) \\ {2x}^{2} + 11x - 21 = (x - 7)(2x - 3)$

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