Divide using long division or synthetic division.

Question

(21x^3 - 7)/(3x - 1)

Just wondering, how would you solve this problem using synthetic division?

Answer 1

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)/(3x-1)]

For a tutorial on long and synthetic division, see
http://faculty.ed.umuc.edu/~swalsh/Math%20Articles/Synthetic%20Division.html