 # Polynomials

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Videos, worksheets, games and activities to help Algebra students learn about polynomials and operations on polynomials. What is a polynomial? How to add and subtract polynomials?

What is a term?
A term can be a number, a variable, a product of numbers and/or variables, or a quotient of numbers and/or variables. For example, 5x, -2ab2, 1/3, 4x-2

What is a monomial?
A monomial is a real number and/or the product of variables with nonnegative exponents. For example, 5x, -2ab2, 1/3

What is a polynomial?
A polynomial is a monomial or a sum of monomials. (Remember subtraction can be written as addition).
A monomial is a polynomial with one term.
A binomial is a polynomial with two terms.
A trinomial is a polynomial with three terms.

Introduction to Polynomials
Identify polynomials and know the different vocabulary used when discussing polynomials.
Example:
For the following polynomial
2a3b2 + 7a2b2 - 0.5ab2 + 25b - 21
What are the terms?
What is the coefficient of each term?
What is the degree of each term?
What is the degree of the polynomial?
What's a Term in a Polynomial?
Polynomials are those expressions that have variables raised to all sorts of powers and multiplied by all types of numbers.
When you work with polynomials you need to know a bit of vocabulary, and one of the words you need to feel comfortable with is "term".
So check out this tutorial, where you'll learn exactly what a "term" in a polynomial is all about.
Types of Polynomials
The following lesson looks at the different types of polynomials: monomials, binomials and trinomials.
Degree Naming, Adding and Subtracting Polynomials
• Determine whether expressions are polynomial and/or classify polynomials by their degree or number of terms.
• Find the degree, leading coefficient, and constant term of a polynomial and/or write polynomial expressions in standard form.
• Add, subtract and/or simplify polynomial expressions.
Example:
Simplify (5x3 - 2x2 - 12) + (6x2 + 3x + 8)
Simplify (3x2 - 9x) - (-5x2 + 7x - 7)
Simplify (x3 - x2 + 3) - (4x3 - x2 + 7)

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