Factor 3x^2-36x+81

$3 x^{2} - 36 x + 81$

Step 1

Factor $3$ out of $3 x^{2} - 36 x + 81$ .

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

$3 (x^{2}) - 36 x + 81$

Factor $3$ out of $- 36 x$ .

$3 (x^{2}) + 3 (- 12 x) + 81$

Factor $3$ out of $81$ .

$3 x^{2} + 3 (- 12 x) + 3 \cdot 27$

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

$3 (x^{2} - 12 x) + 3 \cdot 27$

Factor $3$ out of $3 (x^{2} - 12 x) + 3 \cdot 27$ .

$3 (x^{2} - 12 x + 27)$

Step 2

Factor.

Factor $x^{2} - 12 x + 27$ 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 $27$ and whose sum is $- 12$ .

$- 9, - 3$

Write the factored form using these integers.

$3 ((x - 9) (x - 3))$

Remove unnecessary parentheses.

$3 (x - 9) (x - 3)$

Factor 3x^2-36x+81

Related Questions

Support LCMGCF.com by disabling your adblocker.