Polynomial vs Polynomial Solver Step by Step

The PolynomialSolver is carefully designed to be a simple and elegant app. Easy to use, easy to understand, simple and effective It solves (finds all the roots) polynomials of any order (any degree). Roots can be real, complex or combination of both. No problem. This app has you covered. To find all the solutions, it uses Aberth Ehrlich algorithm for higher order polynomials. The polynomial is beautifully presented in mathematical format. You can also solve multiple polynomials at once. You can also share the polynomial and its solution. Perform the polynomial division to find the quotient and remainder. This app also plots beautiful graph of the polynomial(s) so that you can visualize the solution in the graph. The graph can be shared with other or it can be saved locally on your device. It automatically saves your hard work locally on your device so you can come back and pick up from where you left off as your great effort will not be lost. This is a perfect app if you are a student learning to solve these kind of equations. There is also a Study page to help you with learning some important polynomial concepts. This is an app for all student groups. From high school to college to university students. Be creative. Enjoy the app!

Polynomial Solver Step by Step is a calculator, and, more importantly, a teaching tool. It is designed to help students of both basic and advanced levels. Basic Algebra functions: 1. Polynomial multiplication. 2. Polynomial long division with step by step explanation. 3. Algorithm for finding rational roots consisting of the following: a. Finding all possible rational roots. b. Eliminating the roots outside bounds. c. Performing polynomial long division for each of the roots. d. Adjusting bounds based on long division results if appropriate. Iterative polynomial solving algorithms for advanced-level students: 1. Durand-Kerner method. 2. Aberth method. 3. Newton method with both real and complex starting points. 4. Global (also known as "damped") Newton method with both real and complex starting points. 5. Laguerre method with both real and complex starting points. 6. Bairstow method. 7. Muller method. 8. Eigenvalues of ‘companion matrix’ (demonstration of QR algorithm for eigenvalue calculation is available in our “Matrix Solver Step by Step" app). Interactive graphs are available for: 1. Polynomial functions and their derivatives. 2. Aberth and Durand-Kerner method points on complex plane. 3. Newton, global Newton, Laguerre, and Muller algorithm steps. 4. Newton and global Newton method fractals / convergence images on complex plane 5. Laguerre method convergence images on complex plane 6 Bairstow method convergence images depending on initial approximation values. 7 Muller method convergence images depending on initial approximation values. (Images 4-7 have adjustable settings for area, resolution and shading). Links to online references are included. Please write to us if you like to have new features / chapters added! Developers welcome any feedback, please write to us at graphmath@aol.com.