Factor 2x^2-22x+48

$2 x^{2} - 22 x + 48$

Step 1

Factor $2$ out of $2 x^{2} - 22 x + 48$ .

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

$2 (x^{2}) - 22 x + 48$

Factor $2$ out of $- 22 x$ .

$2 (x^{2}) + 2 (- 11 x) + 48$

Factor $2$ out of $48$ .

$2 x^{2} + 2 (- 11 x) + 2 \cdot 24$

Factor $2$ out of $2 x^{2} + 2 (- 11 x)$ .

$2 (x^{2} - 11 x) + 2 \cdot 24$

Factor $2$ out of $2 (x^{2} - 11 x) + 2 \cdot 24$ .

$2 (x^{2} - 11 x + 24)$

Step 2

Factor.

Factor $x^{2} - 11 x + 24$ 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 $24$ and whose sum is $- 11$ .

$- 8, - 3$

Write the factored form using these integers.

$2 ((x - 8) (x - 3))$

Remove unnecessary parentheses.

$2 (x - 8) (x - 3)$

Factor 2x^2-22x+48

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