P^2 4p 77 =p^2 11p+7p 77 ∵ 77= 11× 7 amp; 4= 11+7 amp; =p(p 11)+7(p 11) =(p 11)(p+7) 𝐀𝐧𝐬. ...

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Factorisation by Regrouping Terms

Factorise: p2...

Question

Factorise:
$p^{2} - 4 p - 77$

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Solution

$p^{2} - 4 p - 77 = p^{2} - 11 p + 7 p - 77 {\begin{matrix} ∵ - 77 = - 11 \times 7 - 4 = - 11 + 7 \end{matrix}} = p (p - 11) + 7 (p - 11) = (p - 11) (p + 7) A n s .$

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