Learning Objectives:

__Math tutoring on Adding and Subtracting Polynomials__

A **Polynomial **is a mathematical expression which is consisting of the sum of different terms, where each term includes a variable or variables raised to a power and multiplied by a coefficient. The simplest **polynomials** have one variable. Some **polynomials** have two, three, or more variables. A **Polynomial** in one variable is called a **Univariate Polynomial**. A **Polynomial** in two variables is known as a **Bivariate Polynomial**.

To **simplify** algebraic expressions, following steps are followed in math tutoring:

· **Step 1**: Simplify within the parentheses, which normally doesn't apply when **adding and subtracting polynomials. **

· **Step 2**: Use the distributive property to eliminate the parentheses.

· **Step 3**: Combine the like terms.

· **Step 4**: Write in descending order.

For subtraction, first rewrite the subtraction as addition, i.e. to change subtraction to addition, then add the opposite or additive inverse. Then follow all four steps.

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**Hook Questions:**

*1. **What is Adding Polynomials?*

*2. **How do you combine Polynomials?*

*3. **What is Subtracting Polynomials?*

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