A) \[-5+2\sqrt{3}\]
B) \[5-2\sqrt{3}\]
C) \[5-6\sqrt{3}\]
D) \[-5+6\sqrt{3}\]
Correct Answer: A
Solution :
| Let correct polynomial be \[p(x)=4\sqrt{3}{{x}^{2}}+5x-2\sqrt{3}\] |
| Tip - A real number a is said to be a zero of a polynomial, \[p(x)=a{{x}^{2}}+bx+c,\] if \[a{{\alpha }^{2}}+b\alpha +c=0\] |
| if \[x=-1,\],then |
| \[p(-1)=4\sqrt{3}{{(-1)}^{2}}+5(-1)-2\sqrt{3}\] |
| \[=4\sqrt{3}-5-2\sqrt{3}\] |
| \[=2\sqrt{3}-5=-5+2\sqrt{3}\] |
| So, option [a] is correct. |
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