If one of the factors of $x^{2} + x - 20$ is $(x + 5)$ , find the other factor.

x + 4

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x - 4

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x - 5

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x + 2

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Solution

The correct option is B $x - 4$
Let $p (x) = x^{2} + x - 20$
$p (x) = x^{2} + 5 x - 4 x - 20$
$p (x) = x (x + 5) - 4 (x + 5)$
$p (x) = (x - 4) (x + 5)$
$(x - 4)$ is also a factor of $x^{2} + x - 20$ .

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