The Remainder Theorem tells us that the remainder after dividing a polynomial by a linear factor is equal to the value of the original polynomial at the value which makes the linear factor zero (ie. x=2).
Therefore for this function, since there are so few terms the easiest way to find the remainder is to find the value of the polynomial at x=2.
2^6 = 64, 3*2^2 = 12 and 10 ... so 64+12+10 = 84.
The second easiest way (although one could argue, doesn't really use the Remainder Theorem) is to use synthetic division to actually work out the remainder ....in shorthand form. The third easiest way is to just use longhand form (polynomial division) -- again, not really using the Remainder Theorem.
