Learning Objectives:

__Adding and Subtracting Polynomials __

A**polynomial**is a mathematical expression which is consisting of 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,

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

**Step 2**: Use 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, add the opposite or additive inverse. Then follow all four steps.

**Hook Questions**

*1. **What is adding polynomials?*

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

*3. **What is subtracting polynomials?*

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