Algebra Examples

$x^{3} - 2 x^{2} - 5 x + 6$

Step 1

Graph the polynomial in order to determine the intervals over which it is increasing or decreasing.

Increasing on: $(- \infty, \frac{2 - \sqrt{19}}{3}), (\frac{2 + \sqrt{19}}{3}, \infty)$

Decreasing on: $(\frac{2 - \sqrt{19}}{3}, \frac{2 + \sqrt{19}}{3})$

Step 2