Factor 5x^2+15x+10

$5 x^{2} + 15 x + 10$

Step 1

Factor $5$ out of $5 x^{2} + 15 x + 10$ .

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

$5 (x^{2}) + 15 x + 10$

Factor $5$ out of $15 x$ .

$5 (x^{2}) + 5 (3 x) + 10$

Factor $5$ out of $10$ .

$5 x^{2} + 5 (3 x) + 5 \cdot 2$

Factor $5$ out of $5 x^{2} + 5 (3 x)$ .

$5 (x^{2} + 3 x) + 5 \cdot 2$

Factor $5$ out of $5 (x^{2} + 3 x) + 5 \cdot 2$ .

$5 (x^{2} + 3 x + 2)$

Step 2

Factor.

Factor $x^{2} + 3 x + 2$ 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 $2$ and whose sum is $3$ .

$1, 2$

Write the factored form using these integers.

$5 ((x + 1) (x + 2))$

Remove unnecessary parentheses.

$5 (x + 1) (x + 2)$

Factor 5x^2+15x+10

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