Posted by Jule on .
Divide using long division or synthetic division.
(21x^3  7)/(3x  1)
Just wondering, how would you solve this problem using synthetic division?

Algebra 
drwls,
I tried it and the quotient is not a polynomial. It's a mess with a remainder and fractional coefficients.
I got 3*[x^2 + x/3 + 1/9 (8/9)/(3x1)]
For a tutorial on long and synthetic division, see
http://faculty.ed.umuc.edu/~swalsh/Math%20Articles/Synthetic%20Division.html