Converting Quadratic Trinomials to Factorable Four-Term Polynomials

This lesson asks students to expand a quadratic trinomial into a four-term expression that could be factored with the box method or by grouping. None of the practice problems have a greatest common factor. Worked example and answer key included.

Designed to be taught after factoring four-term polynomials and before factoring quadratic trinomials, this worksheet could be given as a whole class lesson or as small group lesson for students who may need a bit more practice setting up problems like these before adding the factoring component. As an extension, students could move on to factoring the four-term expressions using the box method or grouping.

There are 17 scaffolded practice problems:

• Factoring puzzle solved (2)
• Factoring puzzle set up (2)
• a, b, and c set up (2),
• Guided blanks (2),
• No guidance (6),
• Factoring the GCF problems (3 - more here)

Worksheet itself is two pages, designed to print on one page front-and-back with solving space provided for the first 8 and last 3 problems; however, scratch paper will be needed for problems 9-14 and may be needed to work the factoring puzzles. Designed for NC.M1.A-SSE.1a / NC.M2.A-SSE.1a

Next lesson: Factoring Quadratic Trinomials

(Part of this Factoring Quadratic Expressions Bundle)