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Let f:R rarr R be a function as f(x)=(...

Let `f:R rarr R` be a function as
`f(x)=(x-1)(x+2)(x-3)(x-6)-100`. If `g(x)` is a polynomial of degree `le 3` such that `int (g(x))/(f(x))dx` does not contain any logarithm function and `g(-2)=10`. Then
The equation `f(x)=0` has

A

all four distinct roots

B

three distinct real roots

C

two real and two imaginary

D

all four imaginary roots

Text Solution

Verified by Experts

The correct Answer is:
C
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