Factor 2x^2-20x+42

$2 x^{2} - 20 x + 42$

Step 1

Factor $2$ out of $2 x^{2} - 20 x + 42$ .

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

$2 (x^{2}) - 20 x + 42$

Factor $2$ out of $- 20 x$ .

$2 (x^{2}) + 2 (- 10 x) + 42$

Factor $2$ out of $42$ .

$2 x^{2} + 2 (- 10 x) + 2 \cdot 21$

Factor $2$ out of $2 x^{2} + 2 (- 10 x)$ .

$2 (x^{2} - 10 x) + 2 \cdot 21$

Factor $2$ out of $2 (x^{2} - 10 x) + 2 \cdot 21$ .

$2 (x^{2} - 10 x + 21)$

Step 2

Factor.

Factor $x^{2} - 10 x + 21$ 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 $21$ and whose sum is $- 10$ .

$- 7, - 3$

Write the factored form using these integers.

$2 ((x - 7) (x - 3))$

Remove unnecessary parentheses.

$2 (x - 7) (x - 3)$

Factor 2x^2-20x+42

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