Comparing Methods—Long Division, Again?

Comparing Methods—Long Division, Again?

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.

New York State Common Core Math Algebra II, Module 1, Lesson 4

Worksheets for Algebra 2

Classwork

Opening Exercise

1. Use the reverse tabular method to determine the quotient
2. Use your work from Exercise 1 to write the polynomial 2𝑥³ + 11𝑥³ + 7𝑥 + 10 in factored form, and then multiply the factors to check your work above.

• Show Video for the Lesson

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.

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