Question 190881
synthetic division.
(6t^4 + 5t^3 - 10t + 4)/(3t-2)
:
Note that the t^2 is not represented so we have to write it:
6t^2 + 5t^3 + 0t^2 - 10t + 4 divided by 3t-2
:
Find the divisor
3t = +2
t = {{{2/3}}}
:
Synthetic division:
:
............____________________
(2/3)| 6 + 5 + 0 - 10 + 4
......................4 + 6 + 4 - 4
.............-------------------
..............6 + 9 + 6 - 6 + 0  (no remainder)
:
Quotient; 6t^3 + 9t^2 + 6t - 6