MathDB

4

Part of 2005 Swedish Mathematical Competition

Problems(1)

Arithmetic Progression of Roots

Source: 2005 Swedish Mathematical Competition #4

1/6/2018
The zeroes of a fourth degree polynomial f(x)f(x) form an arithmetic progression. Prove that the three zeroes of the polynomial f′(x)f'(x) also form an arithmetic progression.
arithmetic sequencealgebraSwedenderivative