X^2 10x+24=x^2 6x 4x+24 ∵ 24=( 6)× ( 4) amp; 10= 6 4 amp; =x(x 6) 4(x 6) =(x 6)(x 4) 𝐀𝐧𝐬. ...

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Factorisation by Regrouping Terms

Factorise: x2...

Question

Factorise:
$x^{2} - 10 x + 24$

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Solution

$x^{2} - 10 x + 24 = x^{2} - 6 x - 4 x + 24 {\begin{matrix} ∵ 24 = (- 6) \times (- 4) - 10 = - 6 - 4 \end{matrix}} = x (x - 6) - 4 (x - 6) = (x - 6) (x - 4) A n s .$

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