document.write( "Question 706040: PLEASE HELP
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document.write( "Write the equation of the function whose roots are
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document.write( "-3i, -2, and 4 \n" );
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Algebra.Com's Answer #434948 by Edwin Parker(36)![]() ![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "\r\n" ); document.write( "The other tutor made an error.\r\n" ); document.write( "\r\n" ); document.write( "Since -3i is a root so is its conjugate 3i. \r\n" ); document.write( "That's because -3i is 0-3i and its conjugate is 0+3i or just 3i.\r\n" ); document.write( "\r\n" ); document.write( "So the roots are\r\n" ); document.write( "\r\n" ); document.write( " x=-3i, x=3i, x=-2, x=4\r\n" ); document.write( "\r\n" ); document.write( "x+3i=0, x-3i=0, x+2=0, x-4=0\r\n" ); document.write( "\r\n" ); document.write( "(x+3i)·(x-3i)·(x+2)·(x-4) = 0\r\n" ); document.write( "\r\n" ); document.write( " (x²-9i²)(x²-2x-8) = 0\r\n" ); document.write( " [x²-9(-1)](x²-2x-8) = 0\r\n" ); document.write( " (x²+9)(x²-2x-8) = 0\r\n" ); document.write( "\r\n" ); document.write( "Multiply that out and collect terms and get:\r\n" ); document.write( "\r\n" ); document.write( " x4-2x³+x²-18x-72 = 0\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |