Factor 2x^2-16x+14

$2 x^{2} - 16 x + 14$

Step 1

Factor $2$ out of $2 x^{2} - 16 x + 14$ .

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

$2 (x^{2}) - 16 x + 14$

Factor $2$ out of $- 16 x$ .

$2 (x^{2}) + 2 (- 8 x) + 14$

Factor $2$ out of $14$ .

$2 x^{2} + 2 (- 8 x) + 2 \cdot 7$

Factor $2$ out of $2 x^{2} + 2 (- 8 x)$ .

$2 (x^{2} - 8 x) + 2 \cdot 7$

Factor $2$ out of $2 (x^{2} - 8 x) + 2 \cdot 7$ .

$2 (x^{2} - 8 x + 7)$

Step 2

Factor.

Factor $x^{2} - 8 x + 7$ 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 $7$ and whose sum is $- 8$ .

$- 7, - 1$

Write the factored form using these integers.

$2 ((x - 7) (x - 1))$

Remove unnecessary parentheses.

$2 (x - 7) (x - 1)$

Factor 2x^2-16x+14

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