Name: Date: Student Exploration: Factoring Special ProductsVocabulary: difference of two squares, factor, greatest common factor, monomial, perfect-square trinomial, polynomial Prior Knowledge Questions (Do these BEFORE using the Gizmo.) 1. Find each product below. A. (x + 3)(x + 5) = B. (x+ 5)(x+ 5) = C. (x+ 5)(x–5) = 2. When do the two middle terms add to zero? Gizmo Overview A polynomialis an expression consisting of one or more monomials(or terms) added to or subtracted from each other. In the Factoring Special ProductsGizmo™, you will factorgiven polynomials, if possible, which means to express them as a product. Here’s how the Gizmo looks at first: The polynomial for you to factor is here. The tiles give you four choices for the next step. Choose the one you think is correct and drag it into the white area above. Read your feedback in the Gizmo. (No feedback is given for correct answers.) Click Proceed to go to the next step. Continue until the polynomial is factored. Then click Newfor a new problem to work on.