A) \[4\sqrt{3}{{x}^{2}}-5x+2\sqrt{3}\]
B) \[4\sqrt{3}{{x}^{2}}+5x-2\sqrt{3}\]
C) \[4\sqrt{3}{{x}^{2}}+5x+2\sqrt{3}\]
D) \[4\sqrt{3}{{x}^{2}}-5x-2\sqrt{3}\]
Correct Answer: B
Solution :
| Required polynomial \[={{x}^{2}}-(\alpha +\beta )x+\alpha \beta \] |
| \[={{x}^{2}}+\frac{5x}{4\sqrt{3}}-\frac{1}{2}\] |
| \[=4\sqrt{3}{{x}^{2}}+5x-2\sqrt{3}\] |
| So, option [b] is correct. |
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