Factor 5x^2+20x+15

$5 x^{2} + 20 x + 15$

Step 1

Factor $5$ out of $5 x^{2} + 20 x + 15$ .

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

$5 (x^{2}) + 20 x + 15$

Factor $5$ out of $20 x$ .

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

Factor $5$ out of $15$ .

$5 x^{2} + 5 (4 x) + 5 \cdot 3$

Factor $5$ out of $5 x^{2} + 5 (4 x)$ .

$5 (x^{2} + 4 x) + 5 \cdot 3$

Factor $5$ out of $5 (x^{2} + 4 x) + 5 \cdot 3$ .

$5 (x^{2} + 4 x + 3)$

Step 2

Factor.

Factor $x^{2} + 4 x + 3$ 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 $3$ and whose sum is $4$ .

$1, 3$

Write the factored form using these integers.

$5 ((x + 1) (x + 3))$

Remove unnecessary parentheses.

$5 (x + 1) (x + 3)$

Factor 5x^2+20x+15

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