Question 5(iii)
Factorise the following expressions
$p^{2} + 6 p - 16$

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Solution

$p^{2} + 6 p - 16 I t c a n b e o b s e r v e d t h a t, - 16 = (- 2) \times 8 a n d 8 + (- 2) = 6 ∴ p^{2} + 6 p - 16 = p^{2} + 8 p - 2 p - 16 = p (p + 8) - 2 (p + 8) = (p + 8) (p - 2)$

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