Factor x^3-13x^2-30x

$x^{3} - 13 x^{2} - 30 x$

Step 1

Factor $x$ out of $x^{3} - 13 x^{2} - 30 x$ .

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

$x \cdot x^{2} - 13 x^{2} - 30 x$

Factor $x$ out of $- 13 x^{2}$ .

$x \cdot x^{2} + x (- 13 x) - 30 x$

Factor $x$ out of $- 30 x$ .

$x \cdot x^{2} + x (- 13 x) + x \cdot - 30$

Factor $x$ out of $x \cdot x^{2} + x (- 13 x)$ .

$x (x^{2} - 13 x) + x \cdot - 30$

Factor $x$ out of $x (x^{2} - 13 x) + x \cdot - 30$ .

$x (x^{2} - 13 x - 30)$

Step 2

Factor.

Factor $x^{2} - 13 x - 30$ 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 $- 30$ and whose sum is $- 13$ .

$- 15, 2$

Write the factored form using these integers.

$x ((x - 15) (x + 2))$

Remove unnecessary parentheses.

$x (x - 15) (x + 2)$

Factor x^3-13x^2-30x

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