Polynomial Solver Step by Step vs Python PCAP Exam Prep

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.

Get ready for the PCAP Certified Associate in Python Programming exam with 500 original practice questions you can study anytime, anywhere - completely offline. Disclaimer: This is an unofficial, independent study app. It is not affiliated with, endorsed by, or sponsored by the Python Software Foundation, the OpenEDG Python Institute, or any other certification, training, or technology organization. "Python" is a registered trademark of the Python Software Foundation; "PCAP" and "Certified Associate in Python Programming" are exam and credential names of the OpenEDG Python Institute. It is intended solely for exam preparation. All questions are original and based on publicly available information about the exam objectives. WHAT'S INSIDE 500 original questions organized into ten study areas that mirror the exam objectives: - Python Basics & Built-in Data Types - Operators, Control Flow & Functions - Lists & Tuples - Dictionaries, Sets & Comprehensions - Strings & Text Processing - Exceptions & Error Handling - Object-Oriented Programming I: Classes & Objects - Object-Oriented Programming II: Inheritance & Special Methods - Modules, Packages & File I/O - Generators, Closures, Decorators & Iterators EXAM-STYLE QUESTIONS Questions mirror the reasoning tested on the real exam, including code-tracing questions that ask you to predict a program's output or identify the exception a snippet raises, plus conceptual questions on data types, operators, control flow, functions, collections, comprehensions, strings, exceptions, object-oriented programming, modules, packages, file handling, and generators, so you practice the way you will be tested. MULTIPLE-CHOICE FORMAT Every question uses a clean four-option format. Submit your answer to instantly see the correct choice and a clear explanation, so you learn as you go. REVIEW MODE Missed questions are collected automatically so you can focus on your weak spots and turn them into strengths. BOOKMARKS Save important or tricky questions to revisit later and build your own focused review set. STUDY STATISTICS Track accuracy by topic with simple charts, so you always know what needs more work before exam day. 100% OFFLINE & PRIVATE No account, no login, and no in-app purchases. All content is bundled in the app and all progress is stored locally on your device. Nothing is sent to any server. Buy once and study as much as you like. Good luck on your exam.