Problems 63-112 should help you pull together all of the factoring techniques of this chapter. Factor completely each polynomial, and indicate any that are not factorable using integers. (Objective 4)
The given expression .
The following two are square binomials:
These patterns can be used for factoring purposes.
The trinomials on the left side are called perfect-square trinomials; they are the result of squaring a binomial.
The perfect-square trinomials can be factored as usual. However, the perfect-square trinomials can be easily recognized by the nature of their terms.
Fro example, is a perfect-square trinomial because
1. The first term is a perfect-square. That is .
2. The last term is a perfect-square. That is .
3. The middle term is twice the product of the quantities being squared in the first and last terms
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