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Question: Roots wanted ;-)

Question:Roots wanted ;-)

Alfred_F 85 Maple 2024
polynomial puzzles
September 19 2024
2

A student wakes up at the end of the lecture and just catches the professor saying:
"... and the roots form an arithmetic sequence."

On the board there is a 5th degree polynomial as homework, but unfortunately the student only manages to write down
x^5 - 5x^4 - 35x^3 +
before the professor wipes the board.

But the student still finds all the roots of the polynomial.

And the roots now have to be calculated.
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