3. (i). Suppose f (x) is a polynomial with integer coefficients such that f(2) = 0(mod 5) f(4) = 0(mod 9), Find a solution to f(x) = 0(mod 45). (ii). Suppose f(r) is a polynomial with integer coefficients such that f(5) = 0(mod 14) f(6) = 0(mod 11), Find a solution to f(x) = 0(mod 154).
3. (i). Suppose f (x) is a polynomial with integer coefficients such that f(2) = 0(mod 5) f(4) = 0(mod 9), Find a solution to f(x) = 0(mod 45). (ii). Suppose f(r) is a polynomial with integer coefficients such that f(5) = 0(mod 14) f(6) = 0(mod 11), Find a solution to f(x) = 0(mod 154).
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.1: Polynomials Over A Ring
Problem 13E
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