Factor x^3-3x^2-4x

$x^{3} - 3 x^{2} - 4 x$

Step 1

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

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

$x \cdot x^{2} - 3 x^{2} - 4 x$

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

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

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

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

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

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

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

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

Step 2

Factor.

Factor $x^{2} - 3 x - 4$ 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 $- 4$ and whose sum is $- 3$ .

$- 4, 1$

Write the factored form using these integers.

$x ((x - 4) (x + 1))$

Remove unnecessary parentheses.

$x (x - 4) (x + 1)$

Factor x^3-3x^2-4x

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