Algebra 1 8-8 Guided Practice: Factoring by Grouping

By Matt Richardson
Last updated almost 3 years ago
8 Questions

Solve It! A packaging company sells two kinds of boxes, Box A and Box B. The company is designing a new box, Box C, that will have the same volume as Boxes A and B combined. Suppose one dimension of Box C is x. What could be the other two dimensions? Select all that apply.

Take Note: What is meant by factor by grouping? Provide an example if it helps to illustrate your description.


Take Note: This expression is already grouped for factoring. What is the GCF of the first two terms?

5n^{3}-10n^{2}+3n-6

Take Note: This expression is already grouped for factoring. What is the GCF of the last two terms? Enter only a number.

5n^{3}-10n^{2}+3n-6

Problem 1 Got It? What is the factored form of the polynomial?
Enter only a simplified expression with two binomials.

Problem 2 Got It?

Problem 3 Got It: Geometry: A rectangular prism has volume represented by the trinomial below.
Which three expressions below could together represent the dimensions of the prism? Use factoring. Select all that apply.

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?