Polynomial Solver Step by Step vs Grade 11 Physical Science

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.

Grade 11 Physical Science Practice is a comprehensive educational app designed to help students learn, revise, and practice important Physics and Chemistry concepts through structured quizzes, mock tests, and performance analysis. The app covers key Grade 11 Physical Science topics including Motion, Newton’s Laws, Gravitation, Thermal Physics, Waves, Electrostatics, Atomic Structure, Chemical Bonding, Organic Chemistry, Environmental Science, and Experimental Science. Students can strengthen conceptual understanding, improve problem-solving skills, and track learning progress through topic-wise practice and detailed statistics. Topics Included Physical Quantities and Measurement Physical quantities, SI units, scalars, vectors, measurement errors, and significant figures. Motion in One Dimension Distance, displacement, speed, velocity, acceleration, graphs, and equations of motion. Vectors and Two-Dimensional Motion Vector addition, projectile motion, relative velocity, circular motion, and applications. Newton's Laws of Motion Inertia, force, momentum, impulse, and conservation of momentum. Work, Energy and Power Work done, kinetic energy, potential energy, power, and conservation of energy. Gravitation Universal gravitation, gravitational fields, satellites, orbital motion, and escape velocity. Properties of Matter Elasticity, stress, strain, Young's modulus, surface tension, and viscosity. Thermal Physics Temperature, heat transfer, thermal expansion, calorimetry, and kinetic theory. Waves and Sound Wave motion, sound waves, wave properties, and Doppler effect. Electrostatics Electric charge, Coulomb's law, electric fields, potential difference, and capacitors. Current Electricity Current, resistance, Ohm's law, electrical circuits, and power. Atomic Structure Atomic models, electrons, protons, neutrons, isotopes, and electronic configuration. Chemical Bonding Ionic bonding, covalent bonding, metallic bonding, valency, and molecular shapes. States of Matter Solids, liquids, gases, diffusion, gas laws, and intermolecular forces. Chemical Reactions Chemical equations, balancing, oxidation, reduction, and redox reactions. Organic Chemistry Basics Hydrocarbons, alkanes, alkenes, alkynes, functional groups, and organic reactions. Environmental Science Ecosystems, pollution, food chains, global warming, renewable resources, and conservation. Experimental Physics and Chemistry Laboratory safety, scientific methods, data collection, analysis, graph interpretation, and practical applications. Key Features • Chapter-wise Physical Science Practice • Topic-wise MCQ Quizzes • Daily Practice Sessions • Full-Length Mock Tests • Performance Statistics • Progress Tracking • Physics and Chemistry Combined Learning • Exam-Oriented Questions • Simple and User-Friendly Interface • Offline-Friendly Learning Experience Suitable For • Grade 11 Physical Science Students • Physics and Chemistry Learners • School Examination Preparation • Science Revision and Practice • Self-Assessment and Progress Tracking Why Choose This App? • Comprehensive Grade 11 Science Coverage • Structured Topic-Wise Learning • Improve Accuracy and Understanding • Strengthen Problem-Solving Skills • Monitor Progress with Statistics • Practice Anytime and Anywhere Build a strong foundation in Physics and Chemistry with chapter-wise practice, topic-based quizzes, and comprehensive mock tests. Improve accuracy, strengthen concepts, and prepare confidently for examinations. Practice Daily • Analyse Performance • Improve Concepts • Achieve Better Results Download Grade 11 Physical Science Practice today and enhance your learning with structured study material, smart revision tools, and exam-focused practice.