A) \[4{{x}^{2}}-x+1\]
B) \[4{{x}^{2}}+x-1\]
C) \[4{{x}^{2}}+x+1\]
D) \[None\,\, of\,\, these\]
Correct Answer: C
Solution :
| [c] Required polynomial |
| \[={{x}^{2}}-(sum\,\,of\,\,zeroes)x+(\text{Product of zeroes)}\] |
| \[={{x}^{2}}-\left( -\frac{1}{4} \right)x+\left( \frac{1}{4} \right)\] |
| \[={{x}^{2}}+\frac{1}{4}x+\frac{1}{4}=4{{x}^{2}}+x+1\] |
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