[Answered] MATH114N Week 3 Discussion: Special Factoring Strategies

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!

 

Solution

From what I notice from the textbook and this website perfect, square trinomials are defined as trinomial that can be written as the square of a binomial. Recall that when a binomial is squared, the result is the square of the first term added to twice the product of the two terms and the square of the last term. I have taken algebra a while ago and this really helped me to understand and recognized when a perfect square trinomial is being displayed. Its always great to learn new ways of doing math.

Perfect square trinomials are a special group of polynomials that can be factored into a very convenient pattern, making them very useful in solving equations…………..please follow the link below to purchase the solution at $5