Factor 2x^2-24x+64

$2 x^{2} - 24 x + 64$

Step 1

Factor $2$ out of $2 x^{2} - 24 x + 64$ .

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

$2 (x^{2}) - 24 x + 64$

Factor $2$ out of $- 24 x$ .

$2 (x^{2}) + 2 (- 12 x) + 64$

Factor $2$ out of $64$ .

$2 x^{2} + 2 (- 12 x) + 2 \cdot 32$

Factor $2$ out of $2 x^{2} + 2 (- 12 x)$ .

$2 (x^{2} - 12 x) + 2 \cdot 32$

Factor $2$ out of $2 (x^{2} - 12 x) + 2 \cdot 32$ .

$2 (x^{2} - 12 x + 32)$

Step 2

Factor.

Factor $x^{2} - 12 x + 32$ 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 $32$ and whose sum is $- 12$ .

$- 8, - 4$

Write the factored form using these integers.

$2 ((x - 8) (x - 4))$

Remove unnecessary parentheses.

$2 (x - 8) (x - 4)$

Factor 2x^2-24x+64

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