Question

Factorize x^2 + 2x -24​

Answer 1

Answer:

x²+2x-24

=x²+6x+4x-24. [splitting the middle term]

=x(x+6)-4(x+6) [taking x as common]

=(x-4) (x+6)

Answer 2

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$\large\bold{~~~~~~~~~~~~~{\underline{\underline{To~factorise~:}}}}$

$\sf {x}^{2} + 2x - 24 \\ \sf We \: can \: factorise \: this \: using \: \\ \sf splitting \: the \: middle \: term \\ \sf method \\ \sf \therefore Here \: \: \: s = 2 \: \: \: \: \: \: p = ( - 24) \\ \sf (6 \: , \: - 4) \\ \sf = ( {x}^{2} - 4x) + (6x - 24) \\ \sf = [x(x - 4)] + [6(x - 4)] \\ \sf = (x + 6)(x - 4) \\ \sf \therefore The \: factors \: are \: (x + 6) \: and \: (x - 4)$

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$\huge\bold\color{gray}{~~Hope~it~helps..!!}$