Related Topics:

Lesson Plans and Worksheets for Algebra II

Lesson Plans and Worksheets for all Grades

More Lessons for Algebra

Common Core For Algebra

Student Outcomes

- Students connect long division of polynomials with the long division algorithm of arithmetic and use this algorithm to rewrite rational expressions that divide without a remainder.

Worksheets for Algebra II, Module 1, Lesson 4 (pdf)

Classwork

Opening Exercise

- Use the reverse tabular method to determine the quotient
- Use your work from Exercise 1 to write the polynomial 2𝑥
^{3}+ 11𝑥^{3}+ 7𝑥 + 10 in factored form, and then multiply the factors to check your work above.

Example 1

If 𝑥 = 10, then the division 1573 ÷ 13 can be represented using polynomial division.

Example 2

Use the long division algorithm for polynomials to evaluate

Exercises 1–8

Use the long division algorithm to determine the quotient. For each problem, check your work by using the reverse tabular method.

Lesson Summary

The long division algorithm to divide polynomials is analogous to the long division algorithm for integers. The long division algorithm to divide polynomials produces the same results as the reverse tabular method.

Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.