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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

all the roots of f(x) are rational

B

only one root is rational

C

both (A) and (B) may be possible

D

none of these

Text Solution

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The correct Answer is:
A
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