Know the Fundamental Theorem of Algebra and verify it for quadratic polynomials.
Identify the repeated root and its multiplicity in a quadratic of the form a(x-r)^2
Problem
In \((x-3)^2\), what is the multiplicity of the repeated root?
Big Picture
What this problem is really about
A repeated root and its multiplicity are different pieces of information. We’ll expose the squared linear factor as two copies, solve one copy for the root value, read the repetition count from the exponent, and check that total multiplicity matches the quadratic degree.
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.
