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Strange functions

Let \(f_r(x)= x(x-1)(x-2)(x-3) + r\), where \(r\) is a real number. Then:

  • Does \(f_r(x)\) have a real root for every value of \(r\)?

  • Does \(f_r(x)\) have a repeated root for finitely many values of \(r\)?

Note by Paramjit Singh
3 years, 3 months ago

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