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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 leading term?
What is the leading coefficient?
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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