Problem preview
A-APR.3 Warmup M3-003-A13-V01

Identify zeros from factorizations and use them to sketch polynomial graphs.

Solve a polynomial inequality using zeros and sign behavior

Problem

Solve \((x~-~1)(x~+~2)~>~0\).

Big Picture

What this problem is really about

First use the factors to find the boundary zeros, then determine the product’s sign on each open interval between and beyond them. Keep only the intervals whose sign matches the inequality. At the end, let the inequality symbol decide whether the zero boundaries are included or excluded.

Inside Gozunta

Turn the preview into practice.

More than a preview

Gozunta lets you study this problem—and more than 10,000 others.

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
Four variants of this problem type
Curriculum context
Course
Math III
Standard
A-APR.3
Category
Algebra
Domain
Arithmetic with Polynomials and Rational Expressions
Objective
Identify zeros from factorizations and use them to sketch polynomial graphs.
Problem type
Solve a polynomial inequality using zeros and sign behavior