document.write( "Question 1099282: Factor the Polynomial completely\r
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\n" ); document.write( "\n" ); document.write( "Im specifically not understanding how to fund multiplicity, so please dont forget that part.
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Algebra.Com's Answer #713707 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"x%5E5%2B6x%5E3%2B9x\" = \"x%2A%28x%5E4+%2B+6x%5E2+%2B+9%29\" =    \r\n" );
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document.write( "     ! Notice that x^4 + 6x^2 + 9 = \"%28x%5E2%29%5E2+%2B+2%2A3%2Ax%5E2+%2B+9\" = \"%28x%5E2%2B3%29%5E2\".  \r\n" );
document.write( "       Therefore, you can continue this chain of equalities in this way\r\n" );
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document.write( "= \"x%2A%28x%5E2%2B3%29%5E2\" =\r\n" );
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document.write( "      The only real zero is z= 0.  All other zeroes are complex zeroes.\r\n" );
document.write( "      So, you can continue in the complex domain\r\n" );
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document.write( "= \"x%2A%28x-3i%29%5E2%2A%28x%2B3i%29%5E2\".\r\n" );
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document.write( "      Now you can see that there is one real zero x= 0 of multiplicity 1,\r\n" );
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document.write( "                                        complex zero x= 3i of multiplicity 2, and\r\n" );
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document.write( "                                        complex zero  x= -3i of multiplicity 2.\r\n" );
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