This math topic delves into the analysis of rational function inequalities that incorporate both single and multiple roots in the numerator and a linear binomial in the denominator. The core concept explored is determining whether the sign of these rational functions changes at specific points, focusing on the impact of zero multiplicity and the role of the roots in the sign behavior of the function across the real number line. Through a series of problems, students are tasked with assessing sign changes at these critical values, thereby deepening their understanding of rational function behavior.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.