Polynomial Solver Step by Step
ASO Keyword Dashboard
Tracking 62 keywords for Polynomial Solver Step by Step in Apple App Store
Polynomial Solver Step by Step tracks 62 keywords (no keywords rank yet; 62 need traction). Key metrics: opportunity 51.7, difficulty 41.0.
Tracked keywords
62
0 ranked • 62 not ranking yet
Top 10 coverage
—
Best rank — • Latest leader —
Avg opportunity
51.7
Top keyword: new
Avg difficulty
41.0
Lower scores indicate easier wins
Opportunity leaders
- 91.1
new
Opportunity: 59.0 • Difficulty: 63.9 • Rank —
Competitors: 2,341
- 85.2
help
Opportunity: 59.0 • Difficulty: 61.1 • Rank —
Competitors: 1,236
- 87.6
like
Opportunity: 59.0 • Difficulty: 63.2 • Rank —
Competitors: 1,767
- 83.9
features
Opportunity: 59.0 • Difficulty: 60.4 • Rank —
Competitors: 1,060
- 78.6
online
Opportunity: 58.0 • Difficulty: 59.0 • Rank —
Competitors: 689
Unranked opportunities
new
Opportunity: 59.0 • Difficulty: 63.9 • Competitors: 2,341
help
Opportunity: 59.0 • Difficulty: 61.1 • Competitors: 1,236
like
Opportunity: 59.0 • Difficulty: 63.2 • Competitors: 1,767
features
Opportunity: 59.0 • Difficulty: 60.4 • Competitors: 1,060
online
Opportunity: 58.0 • Difficulty: 59.0 • Competitors: 689
High competition keywords
new
Total apps: 10,701 • Major competitors: 2,341
Latest rank: — • Difficulty: 63.9
like
Total apps: 7,508 • Major competitors: 1,767
Latest rank: — • Difficulty: 63.2
help
Total apps: 5,873 • Major competitors: 1,236
Latest rank: — • Difficulty: 61.1
features
Total apps: 5,134 • Major competitors: 1,060
Latest rank: — • Difficulty: 60.4
us
Total apps: 4,260 • Major competitors: 915
Latest rank: — • Difficulty: 57.5
All tracked keywords
Includes opportunity, difficulty, rankings and competitor benchmarks
| Major Competitors | |||||||
|---|---|---|---|---|---|---|---|
| new | 59 | 100 | 64 | 91 10,701 competing apps Median installs: 270,475 Avg rating: 4.6 | — | — | 2,341 major competitor apps |
| online | 58 | 100 | 59 | 79 2,997 competing apps Median installs: 268,100 Avg rating: 4.6 | — | — | 689 major competitor apps |
| level | 58 | 100 | 54 | 78 2,734 competing apps Median installs: 274,625 Avg rating: 4.6 | — | — | 638 major competitor apps |
| step | 58 | 100 | 49 | 72 1,454 competing apps Median installs: 257,975 Avg rating: 4.6 | — | — | 298 major competitor apps |
| images | 58 | 100 | 51 | 69 1,097 competing apps Median installs: 227,650 Avg rating: 4.6 | — | — | 197 major competitor apps |
| designed | 58 | 100 | 54 | 80 3,407 competing apps Median installs: 230,000 Avg rating: 4.6 | — | — | 624 major competitor apps |
| welcome | 58 | 100 | 51 | 73 1,721 competing apps Median installs: 240,400 Avg rating: 4.6 | — | — | 342 major competitor apps |
| available | 58 | 100 | 64 | 82 4,074 competing apps Median installs: 282,412 Avg rating: 4.6 | — | — | 979 major competitor apps |
| basic | 58 | 100 | 42 | 62 541 competing apps Median installs: 219,850 Avg rating: 4.6 | — | — | 84 major competitor apps |
| help | 59 | 100 | 61 | 85 5,873 competing apps Median installs: 257,100 Avg rating: 4.6 | — | — | 1,236 major competitor apps |
| write | 58 | 100 | 43 | 61 515 competing apps Median installs: 240,100 Avg rating: 4.6 | — | — | 97 major competitor apps |
| students | 57 | 100 | 38 | 54 253 competing apps Median installs: 213,650 Avg rating: 4.6 | — | — | 38 major competitor apps |
| real | 58 | 100 | 59 | 81 3,692 competing apps Median installs: 264,862 Avg rating: 4.6 | — | — | 828 major competitor apps |
| like | 59 | 100 | 63 | 88 7,508 competing apps Median installs: 276,638 Avg rating: 4.6 | — | — | 1,767 major competitor apps |
| advanced | 58 | 100 | 52 | 74 1,839 competing apps Median installs: 239,250 Avg rating: 4.6 | — | — | 345 major competitor apps |
| eliminating | 57 | 100 | 31 | 42 69 competing apps Median installs: 217,925 Avg rating: 4.6 | — | — | 15 major competitor apps |
| please | 58 | 100 | 53 | 78 2,739 competing apps Median installs: 250,125 Avg rating: 4.6 | — | — | 552 major competitor apps |
| functions | 57 | 100 | 37 | 56 288 competing apps Median installs: 210,062 Avg rating: 4.5 | — | — | 46 major competitor apps |
| companion | 58 | 100 | 43 | 61 500 competing apps Median installs: 223,725 Avg rating: 4.6 | — | — | 86 major competitor apps |
| qr | 57 | 100 | 53 | 58 349 competing apps Median installs: 256,425 Avg rating: 4.7 | — | — | 85 major competitor apps |
| calculation | 20 | 100 | 33 | 42 70 competing apps Median installs: 268,688 Avg rating: 4.7 | — | — | 18 major competitor apps |
| adjustable | 57 | 100 | 37 | 51 185 competing apps Median installs: 195,350 Avg rating: 4.6 | — | — | 34 major competitor apps |
| possible | 58 | 100 | 43 | 64 677 competing apps Median installs: 229,825 Avg rating: 4.6 | — | — | 127 major competitor apps |
| features | 59 | 100 | 60 | 84 5,134 competing apps Median installs: 252,300 Avg rating: 4.6 | — | — | 1,060 major competitor apps |
| long | 58 | 100 | 49 | 69 1,146 competing apps Median installs: 249,412 Avg rating: 4.6 | — | — | 227 major competitor apps |
App Description
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.