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Polynomials Unlocked: Roots, Coefficients, and Vieta’s Formulas

The Master Guide for AMC 10/12, AIME, USAMO, and Advanced Algebra

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Do You Know the Secret Relationship Between Roots and Coefficients?

In the world of competitive mathematics--from the AMC 10/12 to the AIME and USAMO--polynomials are the "Heavy Lifters." They appear in almost every exam, often disguised as complex algebra problems that seem impossible to solve by brute force.

Most students learn to factor simple quadratics and stop there. But to crack the top 1% of scores, you need to go deeper. You need to see polynomials not as equations to be solved, but as structures to be analyzed.

"Polynomials Unlocked" is the definitive guide to mastering high-level algebra. Written by Rohan Kumar Singh (IIT Madras Alumnus & International Olympiad Gold Medalist), this book hands you the keys to the "Hidden Algebra" used by Olympiad champions.

WHAT YOU WILL MASTER:

  • The Fundamentals: Master the Remainder Theorem, Factor Theorem, and Synthetic Division with blinding speed.

  • The Rosetta Stone: Deep dive into Vieta's Formulas to connect roots and coefficients instantly--solving problems without ever finding the roots.

  • The Heavy Machinery: Wield advanced tools like Newton's Sums and Lagrange Interpolation to dismantle AIME-level beasts.

  • The Complex Plane: Visualize roots using Roots of Unity and geometry, bridging the gap between Algebra and Trig.

THE EDUGLOBAL METHOD

Based on the battle-tested curriculum at EduGlobal Institute (home to 230+ Olympiad Rankers), this book respects your time and intelligence:

  1. Concept Sprints: Zero fluff. Just the rigorous theory you need.

  2. Coach's Insights: The "Speed Hacks" and symmetry tricks Rohan teaches his private students.

  3. Pitfall Warnings: Red flags for common algebraic errors that cost students points.

  4. The Gauntlet: Real problems from AIME, USAMO, and RMO to test your mastery.

ABOUT THE AUTHOR

Rohan Kumar Singh is the Founder & Chief Mentor at EduGlobal Institute. An IIT Madras Alumnus and International Olympiad Gold Medalist, Rohan guides students to Ivy League admits and Gold Medals by teaching them to see the structure behind the math.

  • 1,200+ Students Mentored

  • 230+ Olympiad Rankers

  • 350+ AP 5/5 Scores

Stop struggling with brute-force algebra. Learn to unlock the elegance of polynomials.

Scroll up and click "Buy Now" to master Olympiad Algebra today.