The Complete Polynomial Series
Polynomials show up everywhere — from a thrown ball’s path to a planet’s orbit. This series builds your understanding of them from the ground up, one clear idea at a time. No memorized tricks, no shortcuts skipped over — just real intuition for why the rules work.
Real intuition, not memorized tricks
Starting with what a polynomial actually is, the series works through adding, multiplying, and factoring, then pushes into roots, graphs, and the genuinely surprising results that make polynomials one of the most beautiful topics in algebra — like the Factor Theorem and the Fundamental Theorem of Algebra.
Perfect for curious students, competition math beginners, and anyone who wants to actually understand algebra — not just pass a test.
12 episodes, one idea each
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01
What is a Polynomial?
Definition, anatomy of a term, degree, real-world curves, the multi-variable twist
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02
Adding & Subtracting Polynomials
Combining like terms across two or more polynomials
Aug 27, 2026 -
03
Multiplying Polynomials — the FOIL Trick
Distributing across multiple terms; why FOIL is just distribution in disguise
Sep 3, 2026 -
04
Perfect Squares & Difference of Squares
Two special-product patterns that save real time on harder problems
Sep 10, 2026 -
05
Factoring Polynomials — Where Most Students Get Stuck
GCF and simple trinomial factoring; the reverse of multiplying
Sep 17, 2026 -
06
Factoring Special Cases
Sum and difference of cubes — extending factoring beyond the basics
Sep 24, 2026 -
07
Dividing Polynomials — Long Division, Made Visual
Polynomial long division, step by step
Oct 1, 2026 -
08
The Remainder Theorem
A shortcut almost nobody teaches — plus the Factor Theorem it connects to
Oct 8, 2026 -
09
Finding the Roots of a Polynomial
Roots and zeros, tied directly back to the Factor Theorem
Oct 15, 2026 -
10
What Does a Polynomial’s Graph Actually Tell You?
Shape and end behavior, building on the degree-comparison visuals from Episode 1
Oct 22, 2026 -
11
The Fundamental Theorem of Algebra
How many roots does a polynomial really have — and why is that always true?
Oct 29, 2026 -
12
Polynomial Word Problems, Competition Style
Putting it all together with real competition-math applications
Nov 5, 2026
Want more practice with each idea?
The Polynomial Practice Pack has a graded activity and quiz for every episode, with common-mistake traps and instant feedback.