MathDB
2010 Calculus #3: Common Zeroes

Source:

July 15, 2012
calculusalgebrapolynomialVieta

Problem Statement

Let pp be a monic cubic polynomial such that p(0)=1p(0)=1 and such that all the zeroes of p′(x)p^\prime (x) are also zeroes of p(x)p(x). Find pp. Note: monic means that the leading coefficient is 11.
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