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The graph of g(x) pictured below is a quartic (4th degree) polynomial with its only roots at x=2 and x=-2. The equilateral triangle pictured has two of its vertices at the two roots of g(x) and its third vertex at the y-intercept of g(x). Determine the rule of g(x).

The graph of g(x) pictured below is a quartic (4th degree) polynomial with its only roots at x=2 and x=-2. The equilateral triangle pictured has two of its vertices at the two roots of g(x) and its third vertex at the y-intercept of g(x). Determine the rule of g(x).

Advanced Engineering Mathematics
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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The graph of g (x) pictured below is a quartic (4th degree) polynomial with its only roots at x= 2 and x=-2. The equilateral triangle pictured has two of its vertices at the two roots of g(x) and its third vertex at the y-intercept of g(x). Determine the rule of g(x
Transcribed Image Text:The graph of g (x) pictured below is a quartic (4th degree) polynomial with its only roots at x= 2 and x=-2. The equilateral triangle pictured has two of its vertices at the two roots of g(x) and its third vertex at the y-intercept of g(x). Determine the rule of g(x
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
Transcribed Image Text:-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
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