Read the question carefully. Many students will see the word "is equivalent" and set up the problem without thinking about the fact that the second value shows the binomial factors of the equation. If you realize that these are the factors, you can solve the problem very quickly.
Identify the bottom line. k = ?
Assess your options. You could work backwards from the answer problems, but you may have to work the problem more than once. Instead, use your knowledge of equations to solve the problem.
Attack the problem. You may be tempted to look at the plus signs and think that your answer must be positive, but think more carefully about the variables n and k. You do not know whether they are positive or negative! Adding a negative number is the same thing as subtracting a number.
Now you can write your factors as (x - 4)(x - 3) by plugging in -3 for n. You could FOIL these factors to get a polynomial and find out what k would be, but think about it again. The last two numbers inside the parentheses must add to create the number of the middle term in your polynomial. So -3 + -4 = k. Therefore, k = -7.
Loop back. You solved for your bottom line (k and not n), so you are ready to select your answer.
The correct answer is (A).
This is a medium level question.