Abstract
This chapter discusses rings of real and complex polynomials. It presents a theorem which states that every polynomial of a positive degree with complex coefficients has at least one root in the field C of complex numbers. The only polynomials irreducible in the ring C[x] are polynomials of the first degree. In the ring R[x] the only irreducible polynomials are polynomials of the first degree and polynomials of the form x2 + px + q, where p2−4q < 0. The problem of finding roots of algebraic equations is important for the applications of algebra. There are known numerous numerical and graphical methods of approximative solving of equations.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
