Roots of Polynomials
Example (Root of Polynomials) Determine a polynomial of least degree that has roots
![roots of polynomials _gr_1.gif]](pages/roots-of-polynomials/Images/roots-of-polynomials_gr_1.gif){kind=small}
and
![roots of polynomials _gr_2.gif]](pages/roots-of-polynomials/Images/roots-of-polynomials_gr_2.gif){kind=small}
with real coefficients. Expand the polynomial.
Solution.
Example (Root of Polynomials) Determine a polynomial of least degree that has roots
![roots of polynomials _gr_3.gif]](pages/roots-of-polynomials/Images/roots-of-polynomials_gr_3.gif){kind=small}
![roots of polynomials _gr_4.gif]](pages/roots-of-polynomials/Images/roots-of-polynomials_gr_4.gif){kind=small}
and
![roots of polynomials _gr_5.gif]](pages/roots-of-polynomials/Images/roots-of-polynomials_gr_5.gif){kind=small}
with real coefficients. Expand the polynomial.
Solution.
Example (Root of Polynomials) Show that the equation
![roots of polynomials _gr_6.gif]](pages/roots-of-polynomials/Images/roots-of-polynomials_gr_6.gif){kind=small}
has no rational roots.
Solution.
Example (Root of Polynomials) Show that the equation
![roots of polynomials _gr_7.gif]](pages/roots-of-polynomials/Images/roots-of-polynomials_gr_7.gif){kind=small}
has no rational roots.
Solution.
Example (Root of Polynomials) Find all solutions of the equation
![roots of polynomials _gr_8.gif]](pages/roots-of-polynomials/Images/roots-of-polynomials_gr_8.gif){kind=small}
Solution.
Example (Root of Polynomials) Find all solutions of the equation
![roots of polynomials _gr_9.gif]](pages/roots-of-polynomials/Images/roots-of-polynomials_gr_9.gif){kind=small}
Solution.
Example (Root of Polynomials) Find all solutions of the equation
![roots of polynomials _gr_10.gif]](pages/roots-of-polynomials/Images/roots-of-polynomials_gr_10.gif){kind=small}
Solution.
Roots Of Polynomials
Published by Library of Math -- Online math organized by subject into topics.
Written by Smith, David A.
http://www.libraryofmath.com/roots-of-polynomials.html
