Apply the Remainder Theorem to connect p(a), remainders, and factors x-a.
Connect polynomial evaluations, zeros, factors, and x-intercepts
Problem
Given \(p(3)~=~0\), state the equivalent zero, factor, point, and intercept type.
Big Picture
What this problem is really about
The statement p of 3 equals zero carries four equivalent mathematical meanings. We’ll keep the same input 3 while translating it into a zero, the opposite-sign linear factor x minus a, and the graph point whose y-coordinate is zero. Those translations all describe the same place where the graph meets the x-axis.
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.
