Let f(x)=a x^3+b x^2+c x+d , a!=0 If x1...

Let `f(x)=a x^3+b x^2+c x+d , a!=0` If `x_1 and x_2` are the real and distinct roots of `f prime(x)=0` then `f(x)=0` will have three real and distinct roots if

A

`x_(1). x_(2) lt 0`

B

`f (x_(1)). f (x_(2)) gt 0`

C

`f (x). f (x_(2) lt 0`

D

`x_(2), x_(2) gt 0`

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The correct Answer is:

C

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