To solve inequalities involving simple polynomials (such as quadratics or cubics, and no repeated factors), work with what you know about the shapes of graphs. Isolate the polynomial on one …

In this lesson, we will learn how to solve a polynomial inequality. We previously learned how to solve a quadratic inequality. The basic idea was to replace the inequality symbol with an …

Nov 16, 2022 · It is now time to look at solving some more difficult inequalities. In this section we will be solving (single) inequalities that involve polynomials of degree at least two.

⇒ Use a closed circle when the given inequality has ≤ or ≥. Choose one number, which is called a test value, from each interval and test the intervals by evaluating the given inequality at that …

Oct 2, 2025 · We will use a three-step strategy to solve these inequalities. First, we solve the polynomial using factoring, graphing, and division. The second step is to look at subintervals …

To solve inequalities involving the quadratic form a x 2 + b x + c ax2 + bx +c, we need to consider the basic tools. These tools will help to solve the quadratic inequality problems:

Dec 22, 2025 · Like any other function, a polynomial may be written as an inequality, giving a large range of solutions. The best way to solve a polynomial inequality is to find its zeros.

May 16, 2025 · Explore methods for solving polynomial inequalities in Algebra II, covering equation setup, critical values, interval evaluation, and graph checks.

Unlike linear inequalities, polynomial inequalities cannot always be solved with just algebra, and other techniques will need to be used. We will learn to solve inequalities once they are of the …

Oct 6, 2021 · A polynomial inequality is a mathematical statement that relates a polynomial expression as either less than or greater than another. We can use sign charts to solve …