congruences

5. A polynomial is said to be monic is its leading coefficient is perpendicular...

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Congruences : Prime Congruences, Systems of Congruences and Polynomials - 1. If p is a prime congruent to 1 modulo 4 then ((p-1)/2)!^2 ≡ -1 mod p. Use this to find solutions to the following congruences: x^2 ≡-1(mod13) x≡-1(mod7 ...
Find all solutions of each of the following congruences : (a) x2 + x +1 ≡ 0 (mod 11) (b) x3 + x + 1 ≡ 0 (mod 13) (c) x4 + x3 + 2 ≡ 0 (mod 7) - Number Theory - Polynomial Congruences Find all solut ...
If the following is a polynomial function, then state its degree and leading coefficient. - Please assist in my test review for these polynomials. I just need an explanation on how to complete these problems.
Quadratic congruences - 8. Find all solutions to the quadratic congruences, if they exist. (a) x2 + x + 1 ≡ 0 (mod 7). (b) x2 ≡ 55 (mod 179)
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