X^2 5x 24=x^2 8x+3x 24 ∵ 24= 8× 3 amp; 5= 8+3 amp; =x(x 8)+3(x 8) =(x 8)(x+3) 𝐀𝐧𝐬. ...

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Factorisation by Regrouping Terms

Factorise: x2...

Question

Factorise:
$x^{2} - 5 x - 24$

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Solution

$x^{2} - 5 x - 24 = x^{2} - 8 x + 3 x - 24 {\begin{matrix} ∵ - 24 = - 8 \times 3 - 5 = - 8 + 3 \end{matrix}} = x (x - 8) + 3 (x - 8) = (x - 8) (x + 3) A n s .$

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