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Trinomials of the Form ax² ± bx ± c

Factorize: x...

Question

Factorize:
$x^{2} - 14 x + 45$

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Solution

Given equation is $x^{2} - 14 x + 45$
It can be factorised as
$x^{2} - 14 x + 45 = x^{2} - 9 x - 5 x + 45$
$= x (x - 9) - 5 (x - 9)$
$= (x - 9) (x - 5)$
Thus factors are $(x - 9), (x - 5)$ .

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