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Nice Cubic Polynomials for Curve Sketching

Using Pythagorean triplets to construct cubic polynomials such that the polynomial and its first and second derivatives have integer roots.

Old Node ID: 
1639
Author(s): 
Tom Bruggeman (Xavier University) and Tom Gush (SUNY at Stony Brook)
Publication Date: 
Monday, October 22, 2007
Original Publication Source: 
Mathematics Magazine
Original Publication Date: 
September, 1980
Subject(s): 
Algebra and Number Theory
Algebra
Polynomial Equations
Calculus
Single Variable Calculus
Differentiation
Topic(s): 
Differentiation: General Applications
Flag for Digital Object Identifier: 
Publish Page: 
Furnished by JSTOR: 
Rating Count: 
75.00
Rating Sum: 
232.00
Rating Average: 
3.09
Author (old format): 
Tom Bruggeman and Tom Gush (SUNY at Stony Brook)
Applicable Course(s): 
3.0 Calculus
3.1 Mainstream Calculus I
3.4 Non-mainstream Calc I
Modify Date: 
Wednesday, August 15, 2012
Average: 3.1 (75 votes)

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