Math III · A-APR.6

Rewrite rational expressions using inspection, polynomial division, or technology.

Rewrite rational expressions using inspection, polynomial division, or technology.

Concept Algebra
Domain Arithmetic with Polynomials and Rational Expressions
Problem Types

Problem Templates In This Objective

14 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Divide polynomials using long division

4 variants
Template 2

Divide polynomials using synthetic division

4 variants
Template 3

Rewrite an improper rational expression as a quotient plus a remainder term

4 variants
Template 4

Rewrite a rational expression by inspection with its original domain

4 variants
Template 5

Identify the horizontal or slant asymptote from a division result

4 variants
Template 6

Rewrite a rational expression to reveal its end behavior

4 variants
Template 7

Identify the remainder from a rational expression rewrite

4 variants
Template 8

Translate polynomial-division technology output into exact algebraic forms

4 variants
Template 9

Choose the best method to rewrite a rational expression as quotient plus remainder over the divisor

4 variants
Template 10

Verify a rational-expression rewrite using quotient and remainder

4 variants
Template 11

Simplify a factored rational expression without losing holes

4 variants
Template 12

Interpret quotient trend and vanishing remainder correction

4 variants
Template 13

Find a missing coefficient using the remainder when dividing by a linear binomial

4 variants
Template 14

Decide rational-rewrite equivalence using algebra and original domains

4 variants