(C) A student says the equation p(x) = x³ - 1 has only one root, x = 1, and proves it to you by showing you the graph of x³ – 1 on the calculator and pointing out to you that it crosses the x-axis only once. So that is the only root. The student questions the Fundamental Theorem of Algebra. What misconception does the student have here?
(C) A student says the equation p(x) = x³ - 1 has only one root, x = 1, and proves it to you by showing you the graph of x³ – 1 on the calculator and pointing out to you that it crosses the x-axis only once. So that is the only root. The student questions the Fundamental Theorem of Algebra. What misconception does the student have here?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1* (C) A student says the equation p(x) = x³ – 1 has only one root, x = 1, and proves it to you by
showing you the graph of x5 – 1 on the calculator and pointing out to you that it crosses the
x-axis only once. So that is the only root. The student questions the Fundamental Theorem of
Algebra. What misconception does the student have here?
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