can someone help me with the following partial fraction decomposition. It is important that the answer has no complex number.
Remember that when a factor has a multiplicity greater than one, you should list that factor along with all its powers. In other words, since , we should have factors of and .
Also, since cannot be factored any further, but has degree 2, we need to use two constants in the numerator for that term.
The whole thing should look like this:
By the way, a good check to make sure you didn't forget any terms is to make sure the number of constants you have should equal the degree of the original denominator.