Precalculus Examples

$5 x^{4} - 25 x^{3} + 35 x^{2}$

Step 1

Factor $5 x^{2}$ out of $5 x^{4}$ .

$5 x^{2} (x^{2}) - 25 x^{3} + 35 x^{2}$

Step 2

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

$5 x^{2} (x^{2}) + 5 x^{2} (- 5 x) + 35 x^{2}$

Step 3

Factor $5 x^{2}$ out of $35 x^{2}$ .

$5 x^{2} (x^{2}) + 5 x^{2} (- 5 x) + 5 x^{2} (7)$

Step 4

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

$5 x^{2} (x^{2} - 5 x) + 5 x^{2} (7)$

Step 5

Factor $5 x^{2}$ out of $5 x^{2} (x^{2} - 5 x) + 5 x^{2} (7)$ .

$5 x^{2} (x^{2} - 5 x + 7)$