Factor a^2+3a+8a+24

$a^{2} + 3 a + 8 a + 24$

Step 1

Reorder terms.

$a^{2} + 8 a + 3 a + 24$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(a^{2} + 8 a) + 3 a + 24$

Factor out the greatest common factor (GCF) from each group.

$a (a + 8) + 3 (a + 8)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $a + 8$ .

$(a + 8) (a + 3)$