Factor 8x^2+44x+60

$8 x^{2} + 44 x + 60$

Step 1

Factor $4$ out of $8 x^{2} + 44 x + 60$ .

Factor $4$ out of $8 x^{2}$ .

$4 (2 x^{2}) + 44 x + 60$

Factor $4$ out of $44 x$ .

$4 (2 x^{2}) + 4 (11 x) + 60$

Factor $4$ out of $60$ .

$4 (2 x^{2}) + 4 (11 x) + 4 (15)$

Factor $4$ out of $4 (2 x^{2}) + 4 (11 x)$ .

$4 (2 x^{2} + 11 x) + 4 (15)$

Factor $4$ out of $4 (2 x^{2} + 11 x) + 4 (15)$ .

$4 (2 x^{2} + 11 x + 15)$

Step 2

Factor.

Factor by grouping.

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 $a \cdot c = 2 \cdot 15 = 30$ and whose sum is $b = 11$ .

Factor $11$ out of $11 x$ .

$4 (2 x^{2} + 11 (x) + 15)$

Rewrite $11$ as $5$ plus $6$

$4 (2 x^{2} + (5 + 6) x + 15)$

Apply the distributive property.

$4 (2 x^{2} + 5 x + 6 x + 15)$

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$4 ((2 x^{2} + 5 x) + 6 x + 15)$

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

$4 (x (2 x + 5) + 3 (2 x + 5))$

Factor the polynomial by factoring out the greatest common factor, $2 x + 5$ .

$4 ((2 x + 5) (x + 3))$

Remove unnecessary parentheses.

$4 (2 x + 5) (x + 3)$

Factor 8x^2+44x+60

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