Factor x^3-2x^2-3x

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

Step 1

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

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

$x \cdot x^{2} - 2 x^{2} - 3 x$

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

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

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

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

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

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

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

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

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.

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

Remove unnecessary parentheses.

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

Factor x^3-2x^2-3x

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