Vectors and Planes vs Polynomial

Vectors and Planes App helps visualize and understand 3D linear and quadric structures and their intersections. List of linear structures and combinations: 1. Two vector combination. 2. Plane. 3. Line and plane combination. 4. Two plane combination. 5. Three plane combination. Current list of quadric structures: 1. Two sphere combination. 2. Standard ellipsoid. 3. Ellipsoid in a form of positive-definite matrix. 4. Standard cone. 5. Cone in a form of indefinite matrix. 6. 1-sheet hyperboloid. 7. 1-sheet hyperboloid in a form of indefinite matrix. 8. 2-sheet hyperboloid. 9. 2-sheet hyperboloid in a form of indefinite matrix. 10. Standard cylinder. 11. Cylinder in a form of positive-semidefinite matrix. 12. Hyperbolic paraboloid. 13. Elliptic paraboloid. Current list of combinations of quadric and linear structures: 1. Matrix ellipsoid and line. 2. Standard ellipsoid and plane. 3. Matrix ellipsoid and plane. 4. Matrix cone and line. 5. Standard cone and plane. 6. 1-sheet hyperboloid in matrix form and line. 7. 2-sheet hyperboloid in matrix form and line. 8. Matrix cylinder and line. 9. Elliptic paraboloid and line. 10. Hyperbolic paraboloid and line. Interactive 3D graphs are provided for all of the above. Step by step calculation algorithms are provided for all intersection point sets. Many of the algorithms are based on Linear Algebra concepts. Those, in turn, are explained in our “Matrix Solver Step by Step” app. Version 10 was completely redesigned. Developers hope to get feedback from users at graphmath@aol.com.

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!