Factor 3x^2-24x+36

$3 x^{2} - 24 x + 36$

Step 1

Factor $3$ out of $3 x^{2} - 24 x + 36$ .

Factor $3$ out of $3 x^{2}$ .

$3 (x^{2}) - 24 x + 36$

Factor $3$ out of $- 24 x$ .

$3 (x^{2}) + 3 (- 8 x) + 36$

Factor $3$ out of $36$ .

$3 x^{2} + 3 (- 8 x) + 3 \cdot 12$

Factor $3$ out of $3 x^{2} + 3 (- 8 x)$ .

$3 (x^{2} - 8 x) + 3 \cdot 12$

Factor $3$ out of $3 (x^{2} - 8 x) + 3 \cdot 12$ .

$3 (x^{2} - 8 x + 12)$

Step 2

Factor.

Factor $x^{2} - 8 x + 12$ 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 $12$ and whose sum is $- 8$ .

$- 6, - 2$

Write the factored form using these integers.

$3 ((x - 6) (x - 2))$

Remove unnecessary parentheses.

$3 (x - 6) (x - 2)$

Factor 3x^2-24x+36

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