NEST2020MathematicsApplication of Derivatives
Let P be a polynomial whose coefficients are real numbers. Suppose the roots of P(x)=0 are real. Then
Options
- Athe repeated roots of P(x)=0 are also roots of P(x)+P^ (x)=0
- Bthe roots of P(x)+P^ (x)=0 are real and distinct
- Cthe roots of P(x)+P^ (x)=0 are distinct if the roots of P(x)=0 are distinct
- Dthe roots of P(x)+P^ (x)=0 are real
Correct answer
D. the roots of P(x)+P^ (x)=0 are real
Step-by-step solution
No solution available.