Adding and Subtracting Polynomials.

To start, what is a monomial? A polynomial? What is better? ... Do I have to put one polynomial on top of the other to add them? or Do I need to place one next to the other? What happens when I have to subtract them?

In this lesson you will be setting up the polynomials to do it both: Horizontal format, or vertical format. It is not difficult when you are able to see the steps at your own pace and without a teacher to be rushing you. It isn't that difficult...you will see it!

Lesson's Content

 

Lesson In PDF Format (no animations)

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Lesson's Glossary

Algebraic expression: A given set of letters called variables, and real numbers called constants that are combined using addition, subtraction, multiplication, division and/or exponentiation.

Associative Property: Grouping addends in a sum or factors in a product in different order does not affect the answer.

Binomial: Expression that has two (bi) terms.

Commutative Property: Modifying the order of addends or factors in a expression does not affect the sum or product.
Order is not important when adding or multiplying.

Constant: It is a number or value that remains always the same. Never changes.

Exponent: It is a raised number representing the repeated multiplication of a given factor. Perfect square trinomial: A trinomial generated by the product of two equal binomials.

Expression: Any combination of numbers and operations without the = sign.

Like terms: Terms that have the same combination of variables to the same power as factors.

Operation: Any action we perform on one or two numbers to produce a new number. Most common ones are addition, subtraction, multiplication, division, square roots, powers, and so on.

Polynomial: A algebraic statement with one or more terms. Word comes from “poly” which means many.

Power: Exponent of a number or variable.

Subtraction: Adding the opposite

Term: A form of grouping one or more numerical and/or variable factors by means of multiplication and division. Addition and subtraction symbols separate terms.

Variable: A letter used to represent a number. When the variable is part of an equation, it is possible to find the value for which it stands for by solving the equation. This is the solution (s) of the equation.

Variable expression: Mathematical phrase with at least one variable in it.

 

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