SOLUTION: I have been having trouble on this problem for awhile now and I was wondering if anyone could help me? Please and Thank You!! I would deeply appreciate it! Factor completely. c

Question 137778This question is from textbook Algebra Structure and Method
: I have been having trouble on this problem for awhile now and I was wondering if anyone could help me? Please and Thank You!! I would deeply appreciate it!
Factor completely. check for a greatest common factor first.
X^8-1 This question is from textbook Algebra Structure and Method

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Problems of the form
factor in this fashion

We can make a substitution to get it into this form.
Let

Therefore

Similarly

and

Substituting all of those in, you get

The roots of are (i, -i).

Finally if we do a substitution of we get,

When we put that all together we get,

You can check on the square root of i and -i.
The four roots are of the form

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