1. ## Synthetic Division

Will you please help me divide the following using synthetic division: 4x^3 – 4x^2 + 9x + 6 by 2x +1

Thank you

2. Originally Posted by oceanmd
Will you please help me divide the following using synthetic division: 4x^3 – 4x^2 + 9x + 6 by 2x +1

Thank you
Consider: $\frac{4x^{3}-4x^{2}+9x+6}{2x+1}\;=\;\frac{2x^{3}-2x^{2}+(9/2)x+3}{x+(1/2)}$

Then write these values in the right places: 2 -1 -3 (12/2 = 6) -3 0

3. OK so we want to get $2x + 1 = 0$

We find that $x = -\frac{1}{2}$

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 $-\frac{1}{2}$ is a factor. The numbers on the bottoms are the coefficients of the new polynomial you will get.

(Sorry if this was confusing)