Explore trinomials of the form x2 + bx + c, where b is negative and c is positive.
- Factor trinomials of the form x2 + bx + c where the linear term, b, has a negative integer coefficient and the constant term, c, is a positive integer
- Use an area model to factor trinomials of this form
- Generalize the process for factoring trinomials of this form
About the Lesson
This lesson involves factoring trinomials using a dynamic area model. As such, it is implicit that x is a positive quantity, and therefore –x is a negative number and is represented by a darker tile. As a result students will factor trinomials of the form x2 + bx +c by recognizing that the factors of c must add up to b when the trinomial is factored. In the process, students may encounter the notion of subtraction as "adding the opposite."