The first term of the quotient is 2x^2 , because that’s what will give you a 2x^3 as a first term when you
multiply it by x + 5:
Subtract and continue in the same way as when dividing numbers:
The result is 2 x^2 + 3x − 4 with a remainder of 4.
Long division is the way to do Example 3:
Example 31. When 4 g^3 − 3g^2 + g + k is divided by g − 2, the remainder is 27. What is the value of k?(A) 3
(B) 5
(C) 8
(D) 12
(E) 25