Question 5(ii)
Factorise the following expressions
$q^{2} - 10 q + 21$

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Solution

$q^{2} - 10 q + 21 I t c a n b e o b s e r v e d t h a t, 21 = (- 7) \times (- 3) a n d (- 7) + (- 3) = - 10 ∴ q^{2} - 10 q + 21 = q^{2} - 7 q - 3 q + 21 = q (q - 7) - 3 (q - 7) = (q - 7) (q - 3)$

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Factorise:
$q^{2} - 10 q + 21$

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