Which of the following is a factor of $5 x^{2} + 15 x + 10$ ?

x + 10

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x - 10

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x - 1

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x + 1

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Solution

The correct option is D $x + 1$
$5 x^{2} + 15 x + 10$
$= 5 x^{2} + 5 x + 10 x + 10$
$= 5 x (x + 1) + 10 (x + 1)$
$= (5 x + 10) (x + 1)$
$= 5 (x + 2) (x + 1)$
$∴ (x + 1)$ is a factor of $5 x^{2} + 15 x + 10$
So, option D is correct.

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