# The Division of Polynomials

### The Division of Polynomials

Student Outcomes

• Students develop a division algorithm for polynomials by recognizing that division is the inverse operation of multiplication.

### New York State Common Core Math Algebra II, Module 1, Lesson 3

Worksheets for Algebra II, Module 1, Lesson 3 (pdf)

Classwork

Opening Exercise

a. Multiply these polynomials using the tabular method.
(2𝑥 + 5)(𝑥2 + 5𝑥 + 1)
b. How can you use the expression in part (a) to quickly multiply 25 ⋅ 151?

Exploratory Challenge

1. Does
2. Describe the process you used to determine your answer to Exercise 1.
3. Reverse the tabular method of multiplication to find the quotient
4. Test your conjectures. Create your own table and use the reverse tabular method to find the quotient.
5. Test your conjectures. Use the reverse tabular method to find the quotient.
6. What is the quotient of

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