Factor 3x^3-6x^2-9x

$3 x^{3} - 6 x^{2} - 9 x$

Step 1

Factor $3 x$ out of $3 x^{3} - 6 x^{2} - 9 x$ .

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

$3 x (x^{2}) - 6 x^{2} - 9 x$

Factor $3 x$ out of $- 6 x^{2}$ .

$3 x (x^{2}) + 3 x (- 2 x) - 9 x$

Factor $3 x$ out of $- 9 x$ .

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

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

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

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

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

Step 2

Factor.

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

$- 3, 1$

Write the factored form using these integers.

$3 x ((x - 3) (x + 1))$

Remove unnecessary parentheses.

$3 x (x - 3) (x + 1)$

Factor 3x^3-6x^2-9x

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