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Multiplication of Binomials

Factorize the...

Question

Factorize the following
$x^{3} + 2 x^{2} - x - 2$

(x + 1) (x - 1) (x + 2)

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(x - 1) (x - 1) (x + 2)

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(x + 1) (x + 1) (x + 2)

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None of these

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Solution

The correct option is A $(x + 1) (x - 1) (x + 2)$
R.E.F image
$x^{3} + 2 x^{2} - x - 2$
from observation,
1 is solution therefore
$(x - 1)$ is factor
$∴ (x - 1)$ is factor
(Refer image.)
$= (x - 1) (x^{2} + 3 x + 2)$ splitting term
$= (x - 1) (x^{2} + 2 x + x + 2)$
$= (x - 1) (x + 2) (x + 1)$

Suggest Corrections

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