SOLUTION: "Determine the value of k in the following" when {{{x^3+kx^2+2x-3}}} is divided by x +2, the remainder is 1.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: "Determine the value of k in the following" when {{{x^3+kx^2+2x-3}}} is divided by x +2, the remainder is 1.      Log On


   

Question 213971: "Determine the value of k in the following"
when x%5E3%2Bkx%5E2%2B2x-3 is divided by x +2, the remainder is 1.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
"Determine the value of k in the following"
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when x%5E3%2Bkx%5E2%2B2x-3 is divided by x +2, the remainder is 1.
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Use synthetic division:
-2)....1....k.....2.........-3
........1....k-2..2-2k+4....|..-3 -2(-2k+6)
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Remainder: -3 -2(-2k+6) = 1
Solve for "k":
4k -12 = 4
4k = 16
k = 4
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Cheers,
Stan H.