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Nice Cubic Polynomials for Curve Sketching

by Tom Bruggeman (Xavier University) and Tom Gush (SUNY at Stony Brook)

This article originally appeared in:
Mathematics Magazine
September, 1980

Subject classification(s): Algebra and Number Theory | Algebra | Polynomial Equations | Calculus | Single Variable Calculus | Differentiation
Applicable Course(s): 3.0 Calculus | 3.1 Mainstream Calculus I | 3.4 Non-mainstream Calc I

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

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Capsule Course Topic(s):
One-Variable Calculus | Differentiation: General Applications
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