Precalculus Examples

$x^{3} - 10 x^{2} + 34 x$

Step 1

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

$x \cdot x^{2} - 10 x^{2} + 34 x$

Step 2

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

$x \cdot x^{2} + x (- 10 x) + 34 x$

Step 3

Factor $x$ out of $34 x$ .

$x \cdot x^{2} + x (- 10 x) + x \cdot 34$

Step 4

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

$x (x^{2} - 10 x) + x \cdot 34$

Step 5

Factor $x$ out of $x (x^{2} - 10 x) + x \cdot 34$ .

$x (x^{2} - 10 x + 34)$