Set up either long division or synthetic div. I'd do the latter.
Your divisor for synth. div. should be -7.
__________
Then -7 / 2 9 k
-14 +35
--------------------
2 -5 k+35 Rem is 32;
Let 32 = k + 5 and solve for k:
k = -3.
Let's check that. Is k correct?
Then -7 / 2 9 -3
-14 +35
--------------------
2 -5 -3+35 = 32
Since the rem is 32, we are correct; k = -3.
