This math topic examines how the roots and their multiplicities of polynomial functions correlate with the behavior of these functions at their x-intercepts. Students explore scenarios where roots with varying multiplicities might lead to different types of interactions with the x-axis, such as touching and not crossing, crossing and flattening, or simply crossing. By analyzing these interactions based on given roots and multiplicities, students gain a foundational understanding of polynomial graphs' structural behaviors near their zeros.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.