MathProblemsBank

1.10.13 Polynomials

Condition: find the remainder from the division of the polynomial \ (3 x^{5} +5 x^{4} +3 x^{3} +4 x \) for polynomial \ (6 x^{3} +5 x^{2} +4 x+5 \) in the ring \ (\ mathbb {z} / 7 \ mathbb {z} [x] \).

Polynomials and Their Complex, Real and Rational Roots. Decomposition in Various Numerical Fields.