Multiplicity of a root

Task number: 2635

Determine the multiplicity

  • Variant 1

    of the root 1 in the polynomial \(x^4+2x^3+x^2+3x+3\) over \(\mathbb Z_5\).

  • Variant 2

    the root 6 in the polynomial \(x^4+3x^3+6x^2+3x+6\) over \(\mathbb Z_7\).

  • Variant 3

    the root 1 in the polynomial \(x^4+x^3+2x+2\) over \(\mathbb Z_3\).

Difficulty level: Easy task (using definitions and simple reasoning)
Routine calculation training
Cs translation
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