Factor 5x^2+40x+35

$5 x^{2} + 40 x + 35$

Step 1

Factor $5$ out of $5 x^{2} + 40 x + 35$ .

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

$5 (x^{2}) + 40 x + 35$

Factor $5$ out of $40 x$ .

$5 (x^{2}) + 5 (8 x) + 35$

Factor $5$ out of $35$ .

$5 x^{2} + 5 (8 x) + 5 \cdot 7$

Factor $5$ out of $5 x^{2} + 5 (8 x)$ .

$5 (x^{2} + 8 x) + 5 \cdot 7$

Factor $5$ out of $5 (x^{2} + 8 x) + 5 \cdot 7$ .

$5 (x^{2} + 8 x + 7)$

Step 2

Factor.

Factor $x^{2} + 8 x + 7$ 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 $7$ and whose sum is $8$ .

$1, 7$

Write the factored form using these integers.

$5 ((x + 1) (x + 7))$

Remove unnecessary parentheses.

$5 (x + 1) (x + 7)$

Factor 5x^2+40x+35

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