roots esitimation

[swathi konchada]

sir how can we estimate the polynomial of degree n can have  these no of real roots & remaining complex roots.

Which theorem is helpful?

[Rajesh Bandari]

On Sunday, January 5, 2020 at 6:24:49 PM UTC+5:30, swathi konchada wrote:

sir how can we estimate the polynomial of degree n can have  these no of real roots & remaining complex roots.

Which theorem is helpful?

      By Descartes’ rule of signs  we can estimate number of (Less or equal ) real roots and complex roots of a polynomial of degree 'n'

[Rajesh Bandari]

On Sunday, January 5, 2020 at 6:24:49 PM UTC+5:30, swathi konchada wrote:

sir how can we estimate the polynomial of degree n can have  these no of real roots & remaining complex roots.

Which theorem is helpful?

   

     For more information read Sturm's Theorem    ( https://en.wikipedia.org/wiki/Sturm%27s_theorem)