Polynomials
Degree, operations, synthetic division, remainder theorem, roots and polynomial equations
The Polynomials unit belongs to the Functions and polynomials section of Math Mental and has 24 lessons: degree, operations, synthetic division, remainder theorem, roots and polynomial equations.
Lessons in this unit
- Degree of a polynomial
- Leading coefficient
- Coefficient of a power
- Numeric value
- Value at x = 1
- Sum of polynomials
- Difference of polynomials
- Product by a monomial
- Product of binomials
- Division of polynomials
- Synthetic division: quotient
- Synthetic division: remainder
- Remainder theorem
- Exact division
- Integer root
- Multiplicity of a root
- Factored form
- Sum of the roots
- Product of the roots
- The missing root
- Cubic equation
- Biquadratic equation
- Unit review
- Unit trophy
How to work through this unit
Follow the lesson order
The unit has 24 lessons of increasing difficulty. Finish one before moving on: the early techniques come back in the later questions.
Solve it before reading the solution
Work every question out on your own, then read the step by step and check the reason for each step instead of only comparing the final answer.
Lock it in during review
The question types you miss come back in practice and review until you get them right in a row. The unit test confirms the whole unit stuck.
Frequently asked questions about this unit
What does the Polynomials unit cover?
Polynomials belongs to the Functions and polynomials section and has 24 lessons: degree, operations, synthetic division, remainder theorem, roots and polynomial equations. The lessons start with the basic cases and build up to applications, always with a step-by-step solution.
What should I know before studying Polynomials?
This page names the previous unit on the path. If it is not solid yet, go back and practice first; if there is no prerequisite, this is where the path begins.
How long does Polynomials take?
Each lesson takes a few minutes. Most students do one or two a day and finish a unit in one or two weeks. The goal is answering correctly day after day, not clearing everything at once.
Are the Polynomials exercises free?
Yes. Every Math Mental lesson is free and ad-free; you only need an account to save your progress.
Your first lesson takes five minutes
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