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Excluded Value of Rational Expression

Find the excl...

Question

Find the excluded value of $\frac{2 x + 1}{x^{2} + 4 x + 4} .$

A

-2

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B

2

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C

-3

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D

-3

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Solution

The correct option is A -2
To find the excluded value for a given rational expression, consider the denominator equal to zero.

Here, $x^{2} + 4 x + 4 = 0$
$\Rightarrow (x + 2)^{2} = 0$
$\Rightarrow x = - 2$

$∴$ the excluded values of $\frac{2 x + 1}{x^{2} + 4 x + 4}$ is (-2).

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