SOLUTION: Please help i am so confused and i keep coming up with these horrible fractions. this is supposed to be synthetic division. 6t^4+5t^3-10t+4/3t-2

To divide  by  using synthetic
division:

1. Insert a placeholder term 
   making it  
   divided by 


2. Factor out the coefficient of t in the divisor 
   , getting .

3. Use synthetic division to divide by 

4. Divide the bottom row of the completed synthetic 
   division through by 3.

So:

First we divide by .  We change the sign
of  to .

  

Then we divide the bottom row through by 3, and 
get:



Which is interpreted as

 with 0 remainder.

Edwin