Question

${x}^{2} - 19x + 84$
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Answer 1

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${x}^{2} - 19x + 84$

${x}^{2} - 12x - 7x + 84$

$x(x - 12) - 7(x - 12)$

$(x - 7) = 0,(x - 12) = 0$

$x = 7,x = 12$

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Answer 2

GIVEN QUESTION :

${x}^{2} - 19x + 84$

SOLUTION :

We will solve this using middle term splitting:-

$⟹{x}^{2} - 19x + 84$

Now, 84 = (-12)×(-7) and -12-7 = -19

$⟹{x}^{2} - 12x - 7x + 84$

taking out common :-

$⟹x(x - 12 )- 7(x - 12)$

Now take out (x-12) as common :-

$⟹(x - 12)(x - 7)$

ANSWER :

$(x - 12)(x - 7)$

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