If then number of real roots of equation equals
Let
There are sign changes in
There are sign changes in
There are sign changes in
Being a cubic exactly one root in , one in and one in So all those roots are real
So, Option (D)
Number of roots of polynomial equation -
For a polynomial equation if and are of opposite sign then odd number of roots lie between and , if they are of same sign then either no root or even number of roots lie between them.
-
Option 1)
This is incorrect
Option 2)
This is incorrect
Option 3)
This is incorrect
Option 4)
This is correct
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