# Polynomial Solver Step by Step — Explanations, proofs & graphs

> Algebraic polynomial calculator and solver with step-by-step explanations and graphs. (iPhone/iPad app by Yuri Morozov.)

- Source: https://appshunter.io/ios/app/polynomial-solver-step-by-step/id6738137256 (this page in markdown: same URL + `.md`)
- Developer: [Yuri Morozov](https://appshunter.io/developer/1582368813)
- Category: Education, Reference
- Price: Free
- Rating: 5.00/5 from 1 App Store ratings
- Age rating: 4+
- Requires: iOS 15.0 · 4 MB
- Languages: American English
- Released: 2024-11-13
- Data updated: 2026-07-08
- Monetization: free
- User reviews in markdown: https://appshunter.io/ios/app/polynomial-solver-step-by-step/id6738137256/reviews.md

## What is Polynomial Solver Step by Step?

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.

## Key features

- Polynomial multiplication and division
- Rational root finding algorithm
- Iterative solving methods (Durand-Kerner, Aberth, Newton, etc.)
- Interactive polynomial and derivative graphs
- Complex plane visualizations of algorithms
- Links to online references


## Frequently asked questions about Polynomial Solver Step by Step

### What is Polynomial Solver Step by Step?

Polynomial Solver Step by Step is a free educational app designed to help students understand and solve polynomial equations. It provides detailed, step-by-step explanations for various algebraic functions and advanced iterative solving methods.

### What kind of math problems can Polynomial Solver Step by Step solve?

It can perform polynomial multiplication and long division, find rational roots using a detailed algorithm, and solve advanced iterative methods like Durand-Kerner, Aberth, and Newton's method.

### Does Polynomial Solver Step by Step offer visual aids?

Yes, the app features interactive graphs for polynomial functions, their derivatives, and visualizations of iterative algorithm steps on the complex plane. Some graphs have adjustable settings for area, resolution, and shading.

### Is Polynomial Solver Step by Step suitable for advanced students?

Absolutely. Beyond basic algebra, it includes iterative polynomial solving algorithms like Durand-Kerner, Aberth, Newton, Laguerre, Bairstow, and Muller methods, catering to advanced-level students.

### How often is Polynomial Solver Step by Step updated?

The app was last updated on December 13, 2025, with version 8.7. Developers welcome user feedback for potential new features or chapters.

### What devices is Polynomial Solver Step by Step available on?

Polynomial Solver Step by Step is available on iPhone, iPad, and iPod. It is rated for ages 4 and up.

### Does Polynomial Solver Step by Step have ads?

No, Polynomial Solver Step by Step does not contain advertisements. It is a completely free application.

### Can I track my progress with Polynomial Solver Step by Step?

While the app provides step-by-step explanations and visualizations to aid learning, it does not currently offer explicit progress tracking features. Its focus is on detailed problem-solving and understanding.

## Version history (last 5 releases)

### 8.7 — 2025-12-13

Link to our new statistical app, Discrete Probability (Calculator, Proofs, Graphs).

### 8.6.1 — 2025-09-15

Bug fix

### 8.6 — 2025-04-25

Link to our new app, 'Math Editor', which is a tool to create Math notes, posters and presentations.

### 8.5 — 2025-04-14

Fixed an issue with e-mail not sending from "About / Contact us" section.

### 8.4 — 2025-03-09

Minor changes

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## More apps by Yuri Morozov

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All apps by Yuri Morozov: https://appshunter.io/developer/1582368813

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*Data collected daily from the US App Store and indexed by [AppsHunter](https://appshunter.io/). User reviews are verbatim App Store reviews. Ratings, prices and chart positions refresh continuously; this snapshot is from 2026-07-08.*
