The remainder when a polynomial P(x) is divided by (x - a) is P(a).

When P(x) = 3x^4 - 18x^2 + 18 is divided by x - 2 the remainder is P(2) = 3*2^4 - 18*2^2 + 18 = 3*16 - 18*4 + 18 = -6

**The remainder when 3x^4 - 18x^2 + 18 is divided by x - 2 is -6**