Factor 5x^2+35x+60

$5 x^{2} + 35 x + 60$

Step 1

Factor $5$ out of $5 x^{2} + 35 x + 60$ .

Factor $5$ out of $5 x^{2}$ .

$5 (x^{2}) + 35 x + 60$

Factor $5$ out of $35 x$ .

$5 (x^{2}) + 5 (7 x) + 60$

Factor $5$ out of $60$ .

$5 x^{2} + 5 (7 x) + 5 \cdot 12$

Factor $5$ out of $5 x^{2} + 5 (7 x)$ .

$5 (x^{2} + 7 x) + 5 \cdot 12$

Factor $5$ out of $5 (x^{2} + 7 x) + 5 \cdot 12$ .

$5 (x^{2} + 7 x + 12)$

Step 2

Factor.

Factor $x^{2} + 7 x + 12$ using the AC method.

Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $12$ and whose sum is $7$ .

$3, 4$

Write the factored form using these integers.

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

Remove unnecessary parentheses.

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

Factor 5x^2+35x+60

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