A) 5
B) 8
C) 10
D) 15
Correct Answer: C
Solution :
We must have, \[{{i}^{3}}+a{{i}^{2}}+bi+c=0\] and \[{{(-i)}^{3}}+a{{(-i)}^{2}}+b(-i)+c=0\] \[\Rightarrow \,(c-a)+i(b-1)=0\] \[\Rightarrow \,b=1;\,\,\,c=a\] \[\therefore \] Total number of polynomials \[{{=}^{10}}{{C}_{1}}=10\]You need to login to perform this action.
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