Problem preview
N-CN.8 Warmup M3-045-A02-V03

Extend polynomial identities to complex numbers for higher-degree polynomial work.

Factor an even-power polynomial completely over the complex numbers using conjugate imaginary factors

Problem

Factor \(x^{4}~-~16\) completely into linear factors over the complex numbers.

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
N-CN.8
Category
Number and Quantity
Domain
The Complex Number System
Objective
Extend polynomial identities to complex numbers for higher-degree polynomial work.
Problem type
Factor an even-power polynomial completely over the complex numbers using conjugate imaginary factors