Factor 4x^2+36x+56

$4 x^{2} + 36 x + 56$

Step 1

Factor $4$ out of $4 x^{2} + 36 x + 56$ .

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

$4 (x^{2}) + 36 x + 56$

Factor $4$ out of $36 x$ .

$4 (x^{2}) + 4 (9 x) + 56$

Factor $4$ out of $56$ .

$4 x^{2} + 4 (9 x) + 4 \cdot 14$

Factor $4$ out of $4 x^{2} + 4 (9 x)$ .

$4 (x^{2} + 9 x) + 4 \cdot 14$

Factor $4$ out of $4 (x^{2} + 9 x) + 4 \cdot 14$ .

$4 (x^{2} + 9 x + 14)$

Step 2

Factor.

Factor $x^{2} + 9 x + 14$ 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 $14$ and whose sum is $9$ .

$2, 7$

Write the factored form using these integers.

$4 ((x + 2) (x + 7))$

Remove unnecessary parentheses.

$4 (x + 2) (x + 7)$

Factor 4x^2+36x+56

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