Answer:
k = -3
Explanation:
In this question, you would have to work backward. You know that the whole polynomial is 2x^2 - x + k and a factor of it is (x + 1). That will lead to you getting (2x + ?). It takes a little bit of guessing and checking to get the ? value, but in the end, you should find it. and figure out the other factor is (2x - 3). Multiplying (x + 1) and (2x - 3), you should get that the equation is 2x^2 - x - 3, so the value of k is -3.