Use tiles to factor trinomials such as x² + 5x + 6.

• 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

• trinomials
• factor

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.