Know the Fundamental Theorem of Algebra and verify it for quadratic polynomials.
Separate quadratic root type, distinctness, and multiplicity counts
Problem
A real-coefficient quadratic has discriminant \(16\). Use \(\Delta~>0\) to state the number and type of roots and the multiplicity of each root.
Big Picture
What this problem is really about
The discriminant controls root type and distinctness, while polynomial degree controls total multiplicity. We’ll classify the positive nonzero discriminant, distinguish the formula’s two branches, identify the roots as distinct, and distribute the quadratic’s total multiplicity across them.
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.
