question_answer

2 and (\[-2\]) are two zeros of the polynomial\[{{x}^{4}}-5{{x}^{2}}+4\]. What are the other two zeros of the polynomial?

A)  \[1,-1\]

B) \[1,-2\]        

C)  \[-1,2\]                         

D)  \[1,0\]

Correct Answer: A

Solution :

(a):If \[f(x)={{x}^{4}}-5{{x}^{2}}+4;g(x)=(x-2)(x+2)={{x}^{2}}-4\] Then\[\frac{f(x)}{g(x)}\Rightarrow \] \[\therefore q(x)={{x}^{2}}-1\]with zeros as \[-1,+1\]