IM Alg2.2.7 Practice: Using Factors and Zeros of Polynomials

This GeoGebra example is a practice activity from Illustrative Mathematics Algebra 2, Unit 2, Lesson 7, focusing on using factors and zeros of polynomial functions. It demonstrates how to connect the factored form of a polynomial to its real zeros (x-intercepts) and how these zeros shape the graph. Key mathematical concepts include the factor theorem, the relationship between factors and roots, multiplicity of zeros, and the behavior of the graph at each intercept. The construction uses multiple objects (a through l), likely involving polynomial expressions, plotted graphs, movable points or sliders to explore how changing factors affects the zeros, and possibly dynamic labels for coordinates. This resource is ideal for high school Algebra 2 students to practice factoring polynomials, solving equations, and interpreting graphs, as well as for teachers to illustrate the algebraic-geometric connection in a visual, interactive way.