What is the remainder of (2x3 − 18x + 5) ÷ (x − 3)?

 The required remainder is 5.

Step-by-step explanation:  We are given to find the remainder of the following division :

We have the following theorem :

FACTOR THEOREM :  If f(x) is a polynomial, then the remainder on dividing f(x) by (x - a) is f(a).

For the given division, we have

Therefore, the remainder when f(x) is divided by (x - 3) is given by

Thus, the required remainder is 5.