Intermediate Algebra
Answer/Discussion to Practice Problems
Tutorial 29: Factoring Special Products
Answer/Discussion
to 1a


*Fits the form of a perfect sq. trinomial
*Factor as the sum of bases squared

There is no more factoring that we can do in this problem.
Note that if we would multiply this out, we would get the original polynomial. 
Answer/Discussion
to 1b


*Fits the form of a diff. of two cubes
*Binomial is diff. of bases
*Trinomial is 1st base squared, plus prod.
of bases, plus 2nd base squared 
There is no more factoring that we can do in this problem.
Note that if we would multiply this out, we would get the original polynomial. 
Answer/Discussion
to 1c


*Fits the form of a diff. of two squares
*Factor as the prod. of sum and diff. of bases 
There is no more factoring that we can do in this problem.
Note that if we would multiply this out, we would get the original polynomial. 
Answer/Discussion
to 1d


*Group in two's
*Factor out the GCF out of each separate (
)
*Factor out the GCF of (x squared + 3)

There is no more factoring that we can do in this problem.
Note that if we would multiply this out, we would get the original polynomial. 
Answer/Discussion
to 1e


*Factor by trial and error

There is no more factoring that we can do in this problem.
Note that if we would multiply this out, we would get the original polynomial. 
Last revised on July 15, 2011 by Kim Seward.
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