Learning Objectives:

__Math Tutoring on Dividing Polynomials__

To divide a **polynomial** by a monomial, we divide each term by the **monomial**.

Let **a, b **and** c **represent real numbers, variables or algebraic expressions, such that **c ≠ 0**, then **(a+b)/c = a/c + b/c, **

If the divisor is not one term or a monomial, we use **long division** to **divide polynomials**, and this is performed very similar to** long division **in arithmetic. So let us go ahead and review how we would perform **long division** on this problem in math tutoring. Let us first set it up in the correct form. Here we have the **dividend** and the **divisor**. Now, we start by looking at the **divisor**, and starting with the left digits of the **dividend**, now, a **division** problem involving **polynomials** can take a variety of forms. Whichever form it is written in, we do have to write it in **long division** form. So we set up the problem in **long division** form with the **dividend** and the **divisor** in descending order. If terms are missing, we use **0** terms. As soon as we put a term up here we multiply it by the **divisor**. But remember to subtract **polynomials** we add the opposite. Bring down the next digit, and we continue this process.

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**Hook Questions**:

*1. **How do we divide polynomials?*

*2. **How do you divide a polynomial by a binomial?*

*3. **Can you always use synthetic division to divide polynomials?*

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