Algebra I: Factoring Trinomials Part 1

Objectives

• Factor trinomials of the form x² + bx + c, where b and c are positive integers
• Relate factoring a quadratic trinomial to an area model
• Generalize the process for factoring trinomials of the form x² + bx + c, where b and c are positive integers

Vocabulary

• trinomials
• factor

About the Lesson

This lesson involves factoring trinomials using a dynamic area model. As such, it is implicit that x represents a positive quantity. As a result, students will factor trinomials of the form x² + bx + c, where b and c are positive integers, recognizing that in general the factors of c that sum to b are those needed to correctly factor the trinomial.