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Method of Common Factors

Which of the ...

Question

Which of the following are the factors of

$x^{2} + 4 (x - 3)$

(x + 6)

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(x - 6)

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(x + 2)

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(x - 2)

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Solution

The correct options are
A
(x + 6)

D
(x - 2)

$\Rightarrow x^{2} + 4 (x - 3)$

$\Rightarrow x^{2} + 4 x - 12$

$\Rightarrow x^{2} - 2 x + 6 x - 12$

$\Rightarrow x (x - 2) + 6 (x - 2)$

$\Rightarrow (x + 6) (x - 2)$

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