The result is 2 x^2 + 3x – 4 with a remainder of 4.
Long division is the way to do Example 3:
Example 3
To answer this question, start by cranking out the long division:
When 2 x^3 + 3x^2 – 4x + k is divided by x + 2, the remainder is 3. What is
the value of k?