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If f(x)=(x-alpha)^ng(x) and f(alpha)=f'(...

If `f(x)=(x-alpha)^ng(x)` and `f(alpha)=f'(alpha)=f''(alpha)=f^(n-1)(alpha)=0` where f(x) and g(x) are polynomials. For polynomial `f(x)` and `g(x)` with rational cofficients , then answer the following questions (1)If `y = f(x)` touches the x-axis at only one point, then the point of contact

A

sum of the roots of f(x) is 0

B

product of the roots of f(x) is 9

C

sum of the product of the roots taken three at time is `12sqrt(3)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A, B
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