What no should be added to 27x^3-54x^2+36 x -11. So that the resulting polynomial. Becomes divisible by (3x-2)

Answer 1

Just do a long division. Add what you need to make the remainder zero.

Answer 2

27x³ - 54x² + 36x - 11
3x - 2 =0
x=2/3
f(2/3)=27(2/3)³ - 54(2/3)² + 36(2/3) - 11 + y
0=27(8/27) - 54(4/9) + 36(2/3) - 11 + y
0=8 - 6(4) + 12(2) - 11 + y
0=-3 + y
3=y