Divide 1 by a polynomial
I know how to use synthetic division to divide a polynomial by one of lower degree, but how does one divide a poly. by one of higher degree?
In particular, a text I am studying says
1 divided by x-1 =1 + x + x^2 + x^3 + ...
iff -1 < x < 1,
but I don't know how to find this out myself.
How do you divide 1 by x-1 ?
This is done using the geometric series formula:
Originally Posted by mnova
In your case r = x, a = 1
As you can see, the result goes on to infinity. There is no method of doing this in the same way that you can divide using synthetic division/long division.