A) \[4\sqrt{3}{{x}^{2}}+5x+2\sqrt{3}\]
B) \[{{x}^{2}}+\frac{5}{4\sqrt{3}}x-\frac{1}{2}\]
C) \[4\sqrt{3}-5x+2\sqrt{3}\]
D) \[2{{x}^{2}}+\frac{5}{4\sqrt{3}}x-\frac{1}{2}\]
Correct Answer: B
Solution :
Let a and P be the zeros of the required polynomial. Let\[={{\text{2}}^{\text{6}}}\times {{\text{5}}^{\text{2}}}\times {{\text{7}}^{\text{4}}}\text{c}{{\text{m}}^{\text{2}}}\], Given that \[2-\sqrt{4}=2-2=0\] \[{{(\sqrt{5})}^{2}}=5\] \[\sqrt{9}-\sqrt{4}=3-2=1\] So, the required polynomial \[\sqrt{2}-\sqrt{3}\] \[1789=29x+49\] \['x'\] \[\therefore \]
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