Factor 5x^3-25x^2+30x

$5 x^{3} - 25 x^{2} + 30 x$

Step 1

Factor $5 x$ out of $5 x^{3} - 25 x^{2} + 30 x$ .

Factor $5 x$ out of $5 x^{3}$ .

$5 x (x^{2}) - 25 x^{2} + 30 x$

Factor $5 x$ out of $- 25 x^{2}$ .

$5 x (x^{2}) + 5 x (- 5 x) + 30 x$

Factor $5 x$ out of $30 x$ .

$5 x (x^{2}) + 5 x (- 5 x) + 5 x (6)$

Factor $5 x$ out of $5 x (x^{2}) + 5 x (- 5 x)$ .

$5 x (x^{2} - 5 x) + 5 x (6)$

Factor $5 x$ out of $5 x (x^{2} - 5 x) + 5 x (6)$ .

$5 x (x^{2} - 5 x + 6)$

Step 2

Factor.

Factor $x^{2} - 5 x + 6$ 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 $- 5$ .

$- 3, - 2$

Write the factored form using these integers.

$5 x ((x - 3) (x - 2))$

Remove unnecessary parentheses.

$5 x (x - 3) (x - 2)$

Factor 5x^3-25x^2+30x

Related Questions

Support LCMGCF.com by disabling your adblocker.