Select the factors of $a^{2} + 7 a + 12.$

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a+1

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a+2

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Solution

The correct options are
A
1

D
a+2

$a^{2} + 7 a + 12 = a^{2} + 4 a + 3 a + 12 = a (a + 4) + 3 (a + 4) = (a + 3) (a + 4)$

Thus, the factors of $a^{2} + 7 a + 12$ are $(a + 3)$ and $(a + 4) .$

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Divide : $a^{2} + 7 a + 12$ by $(a + 4)$ .

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