Overcoming a Second Obstacle in Factoring—What If There Is a Remainder?


Related Topics:
Lesson Plans and Worksheets for Algebra II
Lesson Plans and Worksheets for all Grades
More Lessons for Algebra
Common Core For Algebra




Share this page to Google Classroom

Overcoming a Second Obstacle in Factoring—What If There Is a Remainder?

Student Outcomes

  • Students rewrite simple rational expressions in different forms, including representing remainders when dividing.

New York State Common Core Math Algebra II, Module 1, Lesson 18

Worksheets for Algebra II, Module 1, Lesson 18

Opening Exercise

Write the rational number 13/4 as a mixed number.

Example 1

a. Find the quotient by factoring the numerator.
(𝑥2 + 3𝑥 + 2) / (2𝑥 + 2)
b. Find the quotient
(𝑥2 +3𝑥 + 5) / (𝑥 + 2)

Example 2

a. Find the quotient by factoring the numerator.
b. Find the quotient.

Exercises 1–10

Find each quotient by inspection.
Find each quotient by using the reverse tabular method.
Find each quotient by using long division.
Rewrite the numerator in the form (𝑥 −ℎ)2 + 𝑘 by completing the square. Then find the quotient.




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.
Mathway Calculator Widget



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