Another confusing maths question...?

Question

Let f(x) = x^(3) + 2x + 4 and g(x) = 3x + 2 in Z5[x]. Find the quotient and remainder when f(x) is divided by g(x).

Answer 1

. . (1/3)x^2 - (2/9)x + 22/27
3x + 2)x^3 . . . . . . . . . . . + 2x + 4
. . . . . . x^3 + (2/3)x^2
. . . . . . . . . . - (2/3)x^2 . . + 2x + 4
. . . . . . . . . . - (2/3)x^2 - (4/9)x
. . . . . . . . . . . . . . . . . . (22/9)x + 4
. . . . . . . . . . . . . . . . . . (22/9)x + 44/27
r = 64/27

Answer 2

♦ xx/3 –2x/9+22/27 +(64/27)/(3x+2);
what is Z5[x] here ??