A) \[{{x}^{2}}-3\sqrt{7}x-70\]
B) \[{{x}^{2}}+3\sqrt{7}x+70\]
C) \[{{x}^{2}}+3\sqrt{7}x-70\]
D) \[{{x}^{2}}-3\sqrt{7}x+70\]
Correct Answer: C
Solution :
| Sum of zeroes \[=2\sqrt{7}+\left( -5\sqrt{7} \right)=-3\sqrt{7}\] |
| Product of zeroes \[=2\sqrt{7}\times \left( -5\sqrt{7} \right)=-70\] |
| The quadratic polynomial are |
| \[{{x}^{2}}-\](sum of zeroes) x + product of zeroes |
| \[{{x}^{2}}-\left( -3\sqrt{7} \right)x-70\] |
| \[={{x}^{2}}+3\sqrt{7}x-70\] |
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