Questions about congruences where the modulus is a polynomial. For questions concerning congruences between polynomials where the modulus is an integer, use the tag (modular-arithmetic) instead.
Questions tagged [polynomial-congruences]
47 questions
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Find coefficient $c$ that makes a valid congruences
I've got a problem from book Integer, Polynomials, and Rings by Ronald S. Irving, page 227.
The question:
Is there a value of the coefficient $c$ in the field $\mathbb{R}$ that makes $x^4+3x^3+2x+1 \equiv 3x^4+x^2+cx \pmod{x^2+x+2}$ a valid…
liz_chan
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