Factor 2x^2-26x+72

$2 x^{2} - 26 x + 72$

Step 1

Factor $2$ out of $2 x^{2} - 26 x + 72$ .

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

$2 (x^{2}) - 26 x + 72$

Factor $2$ out of $- 26 x$ .

$2 (x^{2}) + 2 (- 13 x) + 72$

Factor $2$ out of $72$ .

$2 x^{2} + 2 (- 13 x) + 2 \cdot 36$

Factor $2$ out of $2 x^{2} + 2 (- 13 x)$ .

$2 (x^{2} - 13 x) + 2 \cdot 36$

Factor $2$ out of $2 (x^{2} - 13 x) + 2 \cdot 36$ .

$2 (x^{2} - 13 x + 36)$

Step 2

Factor.

Factor $x^{2} - 13 x + 36$ 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 $36$ and whose sum is $- 13$ .

$- 9, - 4$

Write the factored form using these integers.

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

Remove unnecessary parentheses.

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

Factor 2x^2-26x+72

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