Don’t Just Watch It. Master It.
The Complete Polynomial Series is free on YouTube with new episode every Thursday. The Practice Pack is what turns your watching into actually mastering it. It has a graded activity for every episode, built around the exact traps that can be easily missed, with instantexplanations.
Always free
All 12 videos on YouTube, and the first practice activity: “Is It a Polynomial?” — no login required.
In the Practice Pack
All activities along with common-mistake traps, instant feedback, and quizzes — the practice that makes the ideas stick and helps you excel in your tests.
Try “Is It a Polynomial?” free
Practice ten questions with instant feedback — same format as other Activities 2–12.
Practice built the way the videos teach
Each episode of The Complete Polynomial Series builds real intuition — adding, multiplying, factoring, 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. The Practice Pack is where that understanding gets tested and remembered permanently.
Graded Activities
One per episode to test your understanding in that particular topic.
Common-Mistake Traps
Every activity is also built around the specific errors students normally make on that topic — not generic questions.
Instant Feedback
If you get it wrong, you find out exactly why, with proper explanation — right there, not five questions later.
Quizzes
More practice so you can master the concept, not just understand it.
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
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03
Multiplying Polynomials — the FOIL Trick
Distributing across multiple terms; why FOIL is just distribution in disguise
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04
Square of a Sum & Difference of Squares
Two special-product patterns that save real time on harder problems
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05
Factoring Polynomials — Where Most Students Get Stuck
GCF and simple trinomial factoring; the reverse of multiplying
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06
Factoring Special Cases
Sum and difference of cubes — extending factoring beyond the basics
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07
Dividing Polynomials — Long Division, Made Visual
Polynomial long division, step by step
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08
The Remainder Theorem
A shortcut almost nobody teaches plus the Factor Theorem it connects to
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09
Finding the Roots of a Polynomial
Roots and zeros, tied directly back to the Factor Theorem
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10
What Does a Polynomial’s Graph Actually Tell You?
Shape and end behavior, building on the degree comparison visuals from Episode 1
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11
The Fundamental Theorem of Algebra
How many roots does a polynomial really have and why is that always true?
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12
Polynomial Word Problems, Competition Style
Putting it all together with real competition-math applications
Who this is for
- Anyone who wants to understand Polynomials more deeply
- Competition math beginners who need more practice, not just theory
- It is most useful for students who are currently in Grades 9-12.
Your instructor
It’s made by a Physics Graduate and A Mechanical Engineer (with 8 years experience in an Aeronautical Company). She is currently teaching Math and Physics at a prestigious Online Platform for the last 8 years. The Channel “Beyond the Blackboard” exists for one reason: deep ideas, explained with real intuition, for curious minds.
Ready to actually master this?
Videos are free forever. The Practice Pack is what makes sure you master it for the challenges in the future.