Question 981966
This means, use synthetic division with "root to check" being 2 and dividend  {{{4x^3-3x^2+2x-3}}}.   The remainder will be the given expression  (your dividend) evaluated for x=2.


Do you need to see the work?
response:  YES.


Root to check on the left, dividend coefficients on the other side of the "vertical wall".  This shows a start setup of the synthetic division:

___________________________________________
___________|
______2____|_____4______-3______2_______-3
___________|
___________|_________________________________



___________________________________________
___________|
______2____|_____4______-3______2_______-3
___________|____________8_______10______24
___________|_________________________________
_________________4_______5______12_______<b>21</b>


The remainder is 21;
this means that 4x^3 - 3x^2 + 2x - 3 will be 21 for x=2.