document.write( "Question 1187870: degree 4, zeros -5+2i,-2 multiplicity 2 \n" ); document.write( "
\n" ); document.write( "Each zero 'a' gives a factor 'x-a', and noting complex zeros come in\n" ); document.write( "conjugate pairs:\r\n" ); document.write( "\n" ); document.write( "(x-(-5+2i))(x-(-5-2i))*(x+2)(x+2)\r\n" ); document.write( "\n" ); document.write( "... after combining the terms with complex roots, and multiplying (x+2)(x+2) ...\r\n" ); document.write( "\n" ); document.write( "= * \r\n" ); document.write( "\n" ); document.write( "... after expansion and subsquent simplification ...\r\n" ); document.write( "\n" ); document.write( "= \r\n" ); document.write( "\n" ); document.write( "( checked on WolframAlpha: ' factor x^4+14x^3+73x^2+156x+116 ' yields\n" ); document.write( " )