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+//page 135

+//Example 4.10

+clc;

+clear;

+close;

+x = poly(0,"x");

+P = x^2 + 1;

+disp(P,'P = ');

+disp('P is reducible over complex numbers as: ');

+disp('=',P);

+disp('(x-i)(x+i)');

+disp('Whereas, P is irreducible over real numbers as:.');

+disp('=',P);

+disp('(ax + b)(a''x + b'')');

+disp('For, a,a'',b,b'' to be in R,');

+disp('aa'' = 1');

+disp('ab'' + ba'' = 0');

+disp('bb'' = 1');

+disp('=> a^2 + b^2 = 0');

+disp('=> a = b = 0');

+//end