Problem preview

A-SSE.2 Warmup M3-016-A04-V02

Use expression structure to find useful rewrites.

Rewrite a rational expression by factoring to reveal holes and vertical asymptotes

Problem

Factor and simplify \((x~+~2)/[(x~+~2)(x~-~3)]\). State all retained restrictions, the hole, and the vertical asymptote.

Answer choices

Choose your path.

Preview only

1/(x-3) with vertical asymptote at x=-2 and x=3

1/(x-3) with no restrictions; vertical asymptote x=3

1/(x+2) with x != 3; hole at (3,1/5); vertical asymptote x=-2

1/(x-3) with x != -2; hole at (-2,-1/5); vertical asymptote x=3

The choices are visible. Checking your work and seeing which answer is correct happen inside Gozunta.

Inside Gozunta

More than a preview

Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.

Discover Gozunta Try it now

Curriculum context

Course: Math III
Standard: A-SSE.2
Category: Algebra
Domain: Seeing Structure in Expressions
Objective: Use expression structure to find useful rewrites.
Problem type: Rewrite a rational expression by factoring to reveal holes and vertical asymptotes