document.write( "Question 962337: Find a polynomial f(x) of degree 3 with real coefficients and the following zeros.
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document.write( "-1,-1+i \n" );
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Algebra.Com's Answer #587960 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Find a polynomial f(x) of degree 3 with real coefficients and the following zeros. \n" ); document.write( " -1,-1+i \n" ); document.write( "--- \n" ); document.write( "If the coefficients are Real, -1-i must also be a zero. \n" ); document.write( "---- \n" ); document.write( "f(x) = (x+1)(x-(-1+i))(x-(-1-i)) \n" ); document.write( "--- \n" ); document.write( "f(x) = (x+1)((x+1)-i)((x+1)+i)) \n" ); document.write( "--- \n" ); document.write( "f(x) = (x+1)((x+1)^2 + 1) \n" ); document.write( "----- \n" ); document.write( "f(x) = (x+1)(x^2+2x+2) \n" ); document.write( "--- \n" ); document.write( "f(x) = x^3 +2x^2+x^2 + 2x+2x + 2 \n" ); document.write( "--- \n" ); document.write( "f(x) = x^3+4x^2+4x+2 \n" ); document.write( "---------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "--------------- \n" ); document.write( " |