Will you please help me divide the following using synthetic division: 4x^3 – 4x^2 + 9x + 6 by 2x +1
Thank you
OK so we want to get $\displaystyle 2x + 1 = 0$
We find that $\displaystyle x = -\frac{1}{2}$
Now apply synthetic division.
The Remainder Theorem Look at the bottom of that page where it explains how to do it. If the remainder is 0 then $\displaystyle -\frac{1}{2}$ is a factor. The numbers on the bottoms are the coefficients of the new polynomial you will get.
(Sorry if this was confusing)