Factor 4x^2-12x+8

$4 x^{2} - 12 x + 8$

Step 1

Factor $4$ out of $4 x^{2} - 12 x + 8$ .

Factor $4$ out of $4 x^{2}$ .

$4 (x^{2}) - 12 x + 8$

Factor $4$ out of $- 12 x$ .

$4 (x^{2}) + 4 (- 3 x) + 8$

Factor $4$ out of $8$ .

$4 x^{2} + 4 (- 3 x) + 4 \cdot 2$

Factor $4$ out of $4 x^{2} + 4 (- 3 x)$ .

$4 (x^{2} - 3 x) + 4 \cdot 2$

Factor $4$ out of $4 (x^{2} - 3 x) + 4 \cdot 2$ .

$4 (x^{2} - 3 x + 2)$

Step 2

Factor.

Factor $x^{2} - 3 x + 2$ 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 $2$ and whose sum is $- 3$ .

$- 2, - 1$

Write the factored form using these integers.

$4 ((x - 2) (x - 1))$

Remove unnecessary parentheses.

$4 (x - 2) (x - 1)$

Factor 4x^2-12x+8

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