document.write( "Question 472744: What is a fourth degree polynomial with integer coefficients that has the given zeros: 0,3,-2i. \n" ); document.write( "
Algebra.Com's Answer #324080 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! What is a fourth degree polynomial with integer coefficients that has the given zeros: 0,3,-2i. \n" ); document.write( "------------ \n" ); document.write( "Since the coefficients are integer, 2i is also a root. \n" ); document.write( "----------------- \n" ); document.write( "f(x) = ax(x-3)(x-2i)(x+2i) \n" ); document.write( "---- \n" ); document.write( "f(x) = ax(x-3)(x^2+4) \n" ); document.write( "f(x) = x[x^3-3x^2+4x-12) \n" ); document.write( "--- \n" ); document.write( "f(x) = x^4-3x^3+4x^2-12x \n" ); document.write( "--------------------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============ \n" ); document.write( " |