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Expression Formation

Factorization...

Question

Factorization of $x^{2} + 2 x - 8$ is

A

(x + 4)(x - 2)

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B

(x - 4)(x + 2)

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C

(x + 4)(x + 2)

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D

(x - 4)(x - 2)

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Solution

The correct option is A (x + 4)(x - 2)
$x^{2} + 2 x - 8$ $4 + 9 - 2 = 2$
$4 \times - 2 = - 8$
$x^{2} + 4 x - 2 x - 8 = 0$
Splitting middle term
$x (x + 4) - 2 (x + 4)$
$(x + 4) (x - 2)$

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Q. The factors of x² + 4y² + 4y − 4xy − 2x − 8 are

(a) (x − 2y −4) (x − 2y + 2)

(b) (x − y + 2) (x − 4y − 4)

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(d) none of these

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