Precalculus Examples

$x^{4} + 4 x^{3} - 3 x^{2} = 0$

Step 1

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

$x^{2} x^{2} + 4 x^{3} - 3 x^{2} = 0$

Step 2

Factor $x^{2}$ out of $4 x^{3}$ .

$x^{2} x^{2} + x^{2} (4 x) - 3 x^{2} = 0$

Step 3

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

$x^{2} x^{2} + x^{2} (4 x) + x^{2} \cdot - 3 = 0$

Step 4

Factor $x^{2}$ out of $x^{2} x^{2} + x^{2} (4 x)$ .

$x^{2} (x^{2} + 4 x) + x^{2} \cdot - 3 = 0$

Step 5

Factor $x^{2}$ out of $x^{2} (x^{2} + 4 x) + x^{2} \cdot - 3$ .

$x^{2} (x^{2} + 4 x - 3) = 0$