Factor 9x^3+27x^2-90x

$9 x^{3} + 27 x^{2} - 90 x$

Step 1

Factor $9 x$ out of $9 x^{3} + 27 x^{2} - 90 x$ .

Factor $9 x$ out of $9 x^{3}$ .

$9 x (x^{2}) + 27 x^{2} - 90 x$

Factor $9 x$ out of $27 x^{2}$ .

$9 x (x^{2}) + 9 x (3 x) - 90 x$

Factor $9 x$ out of $- 90 x$ .

$9 x (x^{2}) + 9 x (3 x) + 9 x (- 10)$

Factor $9 x$ out of $9 x (x^{2}) + 9 x (3 x)$ .

$9 x (x^{2} + 3 x) + 9 x (- 10)$

Factor $9 x$ out of $9 x (x^{2} + 3 x) + 9 x (- 10)$ .

$9 x (x^{2} + 3 x - 10)$

Step 2

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.

$9 x ((x - 2) (x + 5))$

Remove unnecessary parentheses.

$9 x (x - 2) (x + 5)$

Factor 9x^3+27x^2-90x

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