Choose two of the forms above and explain the pattern that allows you to recognize the binomial or trinomial as having special factors. Illustrate with examples of a binomial or trinomial expression that may be factored using the special techniques you are explaining. Make sure that you do not use the same example a classmate has already used!

Learning Goal: I’m working on a algebra discussion question and need an explanation and answer to help me learn.

Required Resources

Read/review the following resources for this activity:

• OpenStax Textbook Readings
• Lesson in Canvas
• Assignments in Knewton
  • Factoring Trinomials with a Leading Coefficient of 1
  • Factoring Trinomials with a Leading Coefficient Other than 1
  • Factoring Special Products
  • Choosing a Factoring Strategy
  • Solving Quadratic Equations by Factoring
  • Solving Polynomial Equations by Factoring

Initial Post Instructions

This week we continue our study of factoring. As you become more familiar with factoring, you will notice there are some special factoring problems that follow specific patterns. These patterns are known as:

• a difference of squares;
• a perfect square trinomial;
• a difference of cubes; and
• a sum of cubes.

Choose two of the forms above and explain the pattern that allows you to recognize the binomial or trinomial as having special factors. Illustrate with examples of a binomial or trinomial expression that may be factored using the special techniques you are explaining. Make sure that you do not use the same example a classmate has already used!

Follow-Up Post Instructions

Respond to at least one peer in a substantive, content-specific way. Further the dialogue by providing more information and clarification.

Writing Requirements

• Minimum of 2 posts (1 initial & 1 follow-up) with first post expected by Wednesday
• APA format for in-text citations and list of references

Grading

This activity will be graded using the Discussion Grading Rubric. Please review the following link:

• Link (webpage): Discussion GuidelinesLinks to an external site.

Course Outcomes (CO): 2, 3

Due Date for Initial Post: By 11:59 p.m. MT expected by Wednesday

Due Date for Follow-Up Posts: By 11:59 p.m. MT on Sunday

Posts must be on separate days.