−78
−38
18
58
Correct answer is C
The remainder theorem states that if f(x) is divided by (x - a), the remainder is f(a).
f(x)=x3−2x+m divided by (x - 1), so that a = 1.
Remainder = f(1)=13−2(1)+m=−1+m
f(x)=2x3+x−m divided by (2x + 1), so that a = −12
f(−12)=2(−123)+(−12)−m=−34−m
⟹m−1=−34−m, collecting like terms,
2m=14∴
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