X^2 7x 30=x^2 10x+3x 30 ∵ 30= 10 × 3 amp; 7= 10+3 amp; =x(x 10)+3(x 10) =(x 10)(x+3) 𝐀𝐧𝐬. ...

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Factorisation by Regrouping Terms

Factorise: x2...

Question

Factorise:
$x^{2} - 7 x - 30$

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Solution

$x^{2} - 7 x - 30 = x^{2} - 10 x + 3 x - 30 {\begin{matrix} ∵ - 30 = - 10 \times 3 - 7 = - 10 + 3 \end{matrix}} = x (x - 10) + 3 (x - 10) = (x - 10) (x + 3) A n s .$

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