Write as a Set of Linear Factors x^3+x^2-6x=0

$x^{3} + x^{2} - 6 x = 0$

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

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

$x \cdot x^{2} + x^{2} - 6 x = 0$

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

$x \cdot x^{2} + x \cdot x - 6 x = 0$

Factor $x$ out of $- 6 x$ .

$x \cdot x^{2} + x \cdot x + x \cdot - 6 = 0$

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

$x (x^{2} + x) + x \cdot - 6 = 0$

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

$x (x^{2} + x - 6) = 0$

Factor.

Factor $x^{2} + x - 6$ 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 $- 6$ and whose sum is $1$ .

$- 2, 3$

Write the factored form using these integers.

$x ((x - 2) (x + 3)) = 0$

Remove unnecessary parentheses.

$x (x - 2) (x + 3) = 0$

Write as a Set of Linear Factors x^3+x^2-6x=0

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