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B
No
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C
Cannot be determined
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D
Data Inadequate
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Solution
The correct option is C No Given, p(x)=2x3−11x2−4x+5 g(x)=2x+1 =>2x+1=0 =>x=−12 Now, p(−12) should be 0 if p(x) is a multiple of g(x) Thus, p(−12)=2(−12)3−11(−12)2−4(−12)+5 =(−14)+(114)+2+5 =104+2+5 ≠0 Thus, p(x) is not a multiple of g(x)