Question 252123
To solve this problem, we want to use polynomial division. On the outside you will write {{{x^2-3x-4k}}} and on the inside you will write {{{x^3 + 0x^2 -37x -12k}}}. Notice that there is a 0x^2. This is because we jumped over the x^2 term. Now we are ready to divide. 

In the first division run through, we place an x above the x^3 term. By distributive property, we get {{{x^3 -3x^2 -4kx}}}. Now by subtraction, your new level of terms is {{{3x^2 - 37x + 4kx}}}. Bring down the -12k and redivide. This time we place a 3 above the 0x^2 term and distribute as before to get 
{{{3x^2 - 9x - 12k}}}. This subtracts nicely to get -28x + 4kx. The remainder must be zero, so
-28x - 4kx = 0. K = -7.