How do I find #A# and #B# in the partial fraction decomposition #91x+269=A(x+4)^2+B(x+4)#?
I know how to do PFDs when there are two factors that are different, but how can I do this when there are two factors that are the same? If I set #x=-4# then I remove both terms, and then I have nothing left to solve for.
I know how to do PFDs when there are two factors that are different, but how can I do this when there are two factors that are the same? If I set
1 Answer
Explanation:
If you take the original question:
and you apply long division to it you do indeed get:
However, once you clear the denominator by multiplying everything by
you get:
and to solve for A:
Thus, the partial fraction decomposition of
is