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Jul 28, 2021 · Recognize and Use the Appropriate Special Product Pattern. We just developed special product patterns for Binomial Squares and for the Product of Conjugates. The products look similar, so it is important to recognize when it is appropriate to use each of these patterns and to notice how they differ.
- 6.4: Factor Special Products
We have seen that some binomials and trinomials result from...
- 7.4: Special products
In the previous chapter, we recognized two special products:...
- 6.4: Factor Special Products
We have seen that some binomials and trinomials result from special products—squaring binomials and multiplying conjugates. If you learn to recognize these kinds of polynomials, you can use the special products patterns to factor them much more quickly.
Recognize and Use the Appropriate Special Product Pattern. We just developed special product patterns for Binomial Squares and for the Product of Conjugates. The products look similar, so it is important to recognize when it is appropriate to use each of these patterns and to notice how they differ.
In the previous chapter, we recognized two special products: Difference of two squares and Perfect square trinomials. In this section, we discuss these special products to factor expressions.
What makes these products "special"? The algebraic products on this page are used all the time later in this chapter, and in a lot of the math you will come across later. They are "special" because they are very common, and they're worth knowing.
There are a couple of special instances where there are easier ways to find the product of two binominals than multiplying each term in the first binomial with all terms in the second binomial. Look what happens when you square a binomial.
Sal gives numerous examples of the two special binomial product forms: perfect squares and the difference of two squares. Created by Sal Khan and CK-12 Foundation.
