I have tried and tried to get this correct. Can anyone help me out and show me how you got the answer

Remainder = 6 / (x-6)

Step-by-step explanation:

Two ways to get the answer.

1. using the polynomial remainder theorem.

Here we have a polynomial

f(x) = x^3-13*x^2+40*x+18

to be divided by (x-6).

The polynomial theorem says if we put x = 6 in f(x), we have

6^3-13*6^2+40*6+18

= 216 - 468 + 240 + 18

= 6.

The remainder is then of the long division 6/(x-6)

2. Alternatively, we can do the long division

sine

step-by-step explanation: