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Given,
p(X)= 2x³+kx²-3x+5
q(X)=x³+2x²-x+k
Dividing p(X) and q(X) by (x-2) gives the following remainders respectively:
r1= 15+4k
r2=k+14
Given, r1-r2=0
15+4k-k-14=0
1+3k=0
3k=-1
k=-1/3
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