The Division of Polynomials
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Common Core For Algebra
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
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
- Does
- Describe the process you used to determine your answer to Exercise 1.
- Reverse the tabular method of multiplication to find the quotient
- Test your conjectures. Create your own table and use the reverse tabular method to find the quotient.
- Test your conjectures. Use the reverse tabular method to find the quotient.
- What is the quotient of
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