Factor -11x^3+110x^2-176x

$- 11 x^{3} + 110 x^{2} - 176 x$

Step 1

Factor $- 11 x$ out of $- 11 x^{3} + 110 x^{2} - 176 x$ .

Factor $- 11 x$ out of $- 11 x^{3}$ .

$- 11 x (x^{2}) + 110 x^{2} - 176 x$

Factor $- 11 x$ out of $110 x^{2}$ .

$- 11 x (x^{2}) - 11 x (- 10 x) - 176 x$

Factor $- 11 x$ out of $- 176 x$ .

$- 11 x (x^{2}) - 11 x (- 10 x) - 11 x (16)$

Factor $- 11 x$ out of $- 11 x (x^{2}) - 11 x (- 10 x)$ .

$- 11 x (x^{2} - 10 x) - 11 x (16)$

Factor $- 11 x$ out of $- 11 x (x^{2} - 10 x) - 11 x (16)$ .

$- 11 x (x^{2} - 10 x + 16)$

Step 2

Factor.

Factor $x^{2} - 10 x + 16$ 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 $- 10$ .

$- 8, - 2$

Write the factored form using these integers.

$- 11 x ((x - 8) (x - 2))$

Remove unnecessary parentheses.

$- 11 x (x - 8) (x - 2)$

Factor -11x^3+110x^2-176x

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