GOZUNTA
Try it now
Problem preview
F-IF.7.c Warmup M3-025-A10-V03

Graph polynomial functions using zeros, factorizations, and end behavior.

Use a known zero to completely factor and verify a polynomial

Problem

Given that \(1\) is a zero of \(f(x)~=~x^4~-~1\), factor \(f\) completely and list all real and nonreal zeros with multiplicity.

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
F-IF.7.c
Category
Functions
Domain
Interpreting Functions
Objective
Graph polynomial functions using zeros, factorizations, and end behavior.
Problem type
Use a known zero to completely factor and verify a polynomial