Question 909077
the answer is k = 3.


I used synthetic division to sollve for the remaindder.

the details of the arithmetic are shown below.
look below the details for further comments.


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step 1:


for factor of (x-1), use synthetic division by 1.


step 2:


for factor of (x+2), use synthetic division by -2.


setp 3:


set remainder from step 1 equal to remainder from step 2 and solve for k.