Factor 4x^2+28x-72

$4 x^{2} + 28 x - 72$

Step 1

Factor $4$ out of $4 x^{2} + 28 x - 72$ .

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

$4 (x^{2}) + 28 x - 72$

Factor $4$ out of $28 x$ .

$4 (x^{2}) + 4 (7 x) - 72$

Factor $4$ out of $- 72$ .

$4 x^{2} + 4 (7 x) + 4 \cdot - 18$

Factor $4$ out of $4 x^{2} + 4 (7 x)$ .

$4 (x^{2} + 7 x) + 4 \cdot - 18$

Factor $4$ out of $4 (x^{2} + 7 x) + 4 \cdot - 18$ .

$4 (x^{2} + 7 x - 18)$

Step 2

Factor.

Factor $x^{2} + 7 x - 18$ 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 $- 18$ and whose sum is $7$ .

$- 2, 9$

Write the factored form using these integers.

$4 ((x - 2) (x + 9))$

Remove unnecessary parentheses.

$4 (x - 2) (x + 9)$

Factor 4x^2+28x-72

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