document.write( "Question 927066: Write a polynomial function with REAL COEFFICIENTS AND LEADING coefficient of 1
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Algebra.Com's Answer #562654 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Since the coeffcients are real, and 3+i is a solution, so is its\r\n" );
document.write( "conjugate 3-i\r\n" );
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document.write( "Start with \r\n" );
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document.write( "      x=-2,  x=4,     x=3+i,    x=3-i\r\n" );
document.write( "    x+2=0, x-4=0, x-3-i=0   x-3+i=0 \r\n" );
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document.write( "Multiply all the left sides and all the right sides, which gives\r\n" );
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document.write( "  (x+2)(x-4)(x-3-i)(x-3+i) = 0\r\n" );
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document.write( "Do all that multiplying remembering that i2 = -1\r\n" );
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document.write( "and get\r\n" );
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document.write( "        x4-8x3+14x2+28x-80 = 0\r\n" );
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document.write( "So the polynomial function f(x) is\r\n" );
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document.write( " f(x) = x4-8x3+14x2+28x-80 \r\n" );
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document.write( "Edwin
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