Factor 2s^2+9s+9

$2 s^{2} + 9 s + 9$

Step 1

For a polynomial of the form $a x^{2} + b x + c$ , rewrite the middle term as a sum of two terms whose product is $a \cdot c = 2 \cdot 9 = 18$ and whose sum is $b = 9$ .

Factor $9$ out of $9 s$ .

$2 s^{2} + 9 (s) + 9$

Rewrite $9$ as $3$ plus $6$

$2 s^{2} + (3 + 6) s + 9$

Apply the distributive property.

$2 s^{2} + 3 s + 6 s + 9$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(2 s^{2} + 3 s) + 6 s + 9$

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

$s (2 s + 3) + 3 (2 s + 3)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $2 s + 3$ .

$(2 s + 3) (s + 3)$

Factor 2s^2+9s+9

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