Rewrite simple rational expressions in different forms; write a(x)/b(x)
in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are
polynomials with the degree of r(x) less than the degree of b(x), using
inspection, long division, or, for the more complicated examples, a
computer algebra system.
Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Algebra: Arithmetic with Polynomials & Rational Expressions
Cluster: Rewrite rational expressions. (Algebra 2 - Supporting Cluster) -
Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
Date Adopted or Revised: 02/14
Date of Last Rating: 02/14
Status: State Board Approved - Archived
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Related Resources
Original Student Tutorial
| Name |
Description |
| Long Division With Polynomials | Use long division to rewrite a rational expression of the form a(x) divided by b(x) in the form q(x) plus the quantity r(x) divided by b(x), where a(x), b(x), q(x), and r(x) are polynomials with this interactive tutorial. |
Problem-Solving Task
| Name |
Description |
| Combined Fuel Efficiency | In this example, fuel efficiency of a car can be analyzed by using rational expressions and operations with rational expressions. |
Student Resources
Original Student Tutorial
| Name |
Description |
| Long Division With Polynomials: | Use long division to rewrite a rational expression of the form a(x) divided by b(x) in the form q(x) plus the quantity r(x) divided by b(x), where a(x), b(x), q(x), and r(x) are polynomials with this interactive tutorial. |
Problem-Solving Task
| Name |
Description |
| Combined Fuel Efficiency: | In this example, fuel efficiency of a car can be analyzed by using rational expressions and operations with rational expressions. |
Parent Resources
Problem-Solving Task
| Name |
Description |
| Combined Fuel Efficiency: | In this example, fuel efficiency of a car can be analyzed by using rational expressions and operations with rational expressions. |
