X^2+x 132=x^2+12x 11x 132 ∵ 132=12 × ( 11) amp; 1=12 11 amp; =x(x+12) 11(x+12) =(x+12)(x 11) 𝐀𝐧𝐬. ...

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Factorisation by Regrouping Terms

Factorise: x2...

Question

Factorise:
$x^{2} + x - 132$

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Solution

$x^{2} + x - 132 = x^{2} + 12 x - 11 x - 132 {\begin{matrix} ∵ - 132 = 12 \times (- 11) 1 = 12 - 11 \end{matrix}} = x (x + 12) - 11 (x + 12) = (x + 12) (x - 11) A n s .$

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