Solving Polynomial Inequalities
- When solving polynomial inequalities by an algebraic method, you need to fully factorize the polynomial and then investigate the signs of the factors on the whole set of real numbers by constructing a sign table.
- This is the same method as solving quadratic inequalities, just with more stuff to consider!
- Just like quadratic inequalities, when graphed, the inequality is the area above or below the graph.
- If f(x) < y then it is below and if f(x) > y it is above.
- When solving polynomial inequalities using a graphical method, use a calculator to graph the polynomial as an equation and identify for which values x is positive or negative, and use this to solve the inequality.
