Question 213971
"Determine the value of k in the following"

----------------------------------
when {{{x^3+kx^2+2x-3}}} is divided by x +2, the remainder is 1.

----------------------------------
Use synthetic division:
-2)....1....k.....2.........-3
........1....k-2..2-2k+4....|..-3 -2(-2k+6)

-------------------------
Remainder: -3 -2(-2k+6) = 1
Solve for "k":
4k -12 = 4
4k = 16
k = 4
==================================
Cheers,
Stan H.