MATH 104A Summer 2014 Practice Final Exam Solutions - 1(i Recall that R comes equipped with the norm N(a b 37 = a2 37b2 and that the norm is

MATH 104A Summer 2014 Practice Final Exam Solutions - 1(i...

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We find the solution modulo 192via Taylor. Writef(x) = 2x2-x-25 =f0(x) = 4x-1.Forx2mod 19 we havef(2) =-19, f0(2) = 7 =f0(2)-1=-8mod 19.The solution isx2-f(2)·f0(2)-1= 2-19·8mod 192211

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