Problem preview

A-APR.6 Warmup M3-006-A03-V03

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

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

Problem

Rewrite \((x^3~+~1)/(x^2~+~1)\) in quotient-plus-remainder form.

Answer choices

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x + (x + 1)/(x² + 1)

x + 1/(x² + 1)

x + (1 - x)/(x² + 1)

x + (1 - x)/x²

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Curriculum context

Course: Math III
Standard: A-APR.6
Category: Algebra
Domain: Arithmetic with Polynomials and Rational Expressions
Objective: Rewrite rational expressions using inspection, polynomial division, or technology.
Problem type: Rewrite an improper rational expression as a quotient plus a remainder term