Factor y=x^3+3x^2-10x

$y = x^{3} + 3 x^{2} - 10 x$

Factor $x$ out of $x^{3} + 3 x^{2} - 10 x$ .

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

$y = x \cdot x^{2} + 3 x^{2} - 10 x$

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

$y = x \cdot x^{2} + x (3 x) - 10 x$

Factor $x$ out of $- 10 x$ .

$y = x \cdot x^{2} + x (3 x) + x \cdot - 10$

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

$y = x (x^{2} + 3 x) + x \cdot - 10$

Factor $x$ out of $x (x^{2} + 3 x) + x \cdot - 10$ .

$y = x (x^{2} + 3 x - 10)$

Factor.

Factor $x^{2} + 3 x - 10$ 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 $- 10$ and whose sum is $3$ .

$- 2, 5$

Write the factored form using these integers.

$y = x ((x - 2) (x + 5))$

Remove unnecessary parentheses.

$y = x (x - 2) (x + 5)$

Factor y=x^3+3x^2-10x

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