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Zeroes of a Polynomial

Solve the fol...

Question

Solve the following quadratic equation by factorisation.
$x^{2} - 7 x - 18 = 0$ .

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Solution

$x^{2} - 7 x - 18 = 0$
$x^{2} - 9 x + 2 x - 18 = 0$
$x (x - 9) + 2 x - 18 = 0$
$x (x - a) + 2 (x - 9) = 0$
$(x - 9) (x + 2) = 0$
$x = 9 - 2$

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