State whether True or False.
Factorization of $5 a p^{2} + 11 a p + 2 a$ is $a (p + 2) (5 p + 1)$ .

True

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False

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Solution

The correct option is A True
$5 a p^{2} + 11 a p + 2 a = 5 a p^{2} + 10 a p + a p + 2 a = 5 p (a p + 2 a) + (a p + 2 a) = (5 p + 1) (a p + 2 a)$
$= a (5 p + 1) (p + 2)$

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