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Image by Erol Ahmed

Algebra

The first four articles in this section are Ali's own findings. And the first one was published in BCAMT’s 2010 edition of Vector magazine. Most likely assertions in the rest of the articles might be found in textbooks, however, Ali has used his own methods for proofs.

  • 1. A Second Look at Multipliers Algorithm for Solving Polynomial Equations & Factoring - Revised Mar 2023
  • 2. Remainder Theorems for Quadratic & Cubic Divisors
  • 3. On Squares of the Solutions for a Polynomial Equation
  • 4. A Square Root Zero Theorem for Integral Polynomials - Revised Apr 2023
  • 5. A Graphical Cubic Equation Test
  • 6. Binomial Expansion for Negative Powers
  • 7. Binomial Expansion for Reciprocal Powers
  • 8. Factoring Trinomials and Quadrinomials
  • 9. A Quick Proof of Heron's Formula
  • 10. Approximating π With Proofs for BC Grade Tens
  • 11. Elementary Poems From Maryam
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