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Roots of Quadratic Equation

Factorise : ...

Question

Factorise :
$x^{2} - 21 x + 90$

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Solution

To Factorise : $x^{2} - 21 x + 90$
By splitting the middle term
$= x^{2} - 6 x - 15 x + 90$
$= x (x - 6) - 15 (x - 6)$
$= (x - 6) (x - 15)$
So, $x^{2} - 21 x + 90 = (x - 6) (x - 15)$

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