1.

Factorise 2x square + 11 x - 21​

Answer»

\huge\purple{Required \: Answer :}

\huge\sf{To \: Factorise :}

2 {<klux>X</klux>}^{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 + <klux>7</klux>) - 3(x + 7) = 0 \\ \: \: \: \: \: \: \: \: \: \: (x + 7)(2x - 3) = 0 \\ x = -7 \\ x = \frac{3}{2} \: \:

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


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