SOLUTION: Determine the value of k so that 3x-1 is a factor of 3x^3 + 8x^2 + kx - 2

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Question 1161506: Determine the value of k so that 3x-1 is a factor of
3x^3 + 8x^2 + kx - 2
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


If 3x-1 is a factor, then x=1/3 is a root.

Use synthetic division to find the value of k that makes the remainder zero.


   1/3 | 3   8   k    -2
       |     1   3  (1/3)k+1
       ----------------------
         3   9  k+3  (1/3)k-1

%281%2F3%29k-1+=+0
k-3+=+0
k+=+3