Factor x^3-6x^2-16x

$x^{3} - 6 x^{2} - 16 x$

Step 1

Factor $x$ out of $x^{3} - 6 x^{2} - 16 x$ .

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

$x \cdot x^{2} - 6 x^{2} - 16 x$

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

$x \cdot x^{2} + x (- 6 x) - 16 x$

Factor $x$ out of $- 16 x$ .

$x \cdot x^{2} + x (- 6 x) + x \cdot - 16$

Factor $x$ out of $x \cdot x^{2} + x (- 6 x)$ .

$x (x^{2} - 6 x) + x \cdot - 16$

Factor $x$ out of $x (x^{2} - 6 x) + x \cdot - 16$ .

$x (x^{2} - 6 x - 16)$

Step 2

Factor.

Factor $x^{2} - 6 x - 16$ 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 $- 16$ and whose sum is $- 6$ .

$- 8, 2$

Write the factored form using these integers.

$x ((x - 8) (x + 2))$

Remove unnecessary parentheses.

$x (x - 8) (x + 2)$

Factor x^3-6x^2-16x

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