GOZUNTA
Try it now
Problem preview
N-CN.9 Warmup M2-059-A06-V04

Know the Fundamental Theorem of Algebra and verify it for quadratic polynomials.

Find the other root of a quadratic with real coefficients when one complex root is given

Problem

A quadratic polynomial has real coefficients. If \(\text{one}~\text{zero}\) is \(6-3i\), what is the other zero?

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 II
Standard
N-CN.9
Category
Number and Quantity
Domain
The Complex Number System
Objective
Know the Fundamental Theorem of Algebra and verify it for quadratic polynomials.
Problem type
Find the other root of a quadratic with real coefficients when one complex root is given