document.write( "Question 1014681: Find the zeros of the polynomial x^5-6x^4+9x^3.\r
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Algebra.Com's Answer #631003 by ikleyn(52786)\"\" \"About 
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\n" ); document.write( "Find the zeros of the polynomial x^5-6x^4+9x^3.\r
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document.write( "Factor out \"x%5E3\":\r\n" );
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document.write( "\"x%5E5-6x%5E4%2B9x%5E3\" = \"x%5E3%2A%28x%5E2-6x%2B9%29\".\r\n" );
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document.write( "Now solve this polynomial equation:\r\n" );
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document.write( "\"x%5E3%2A%28x%5E2-6x%2B9%29\" = \"0\".\r\n" );
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document.write( "Its 3 roots are x = 0 of multiplicity 3.\r\n" );
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document.write( "Next you need to solve this quadratic equation \r\n" );
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document.write( "\"x%5E2-6x%2B9\" = \"0\".\r\n" );
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document.write( "Notice that the left side is \"%28x-3%29%5E2\".\r\n" );
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document.write( "So, your equation is \r\n" );
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document.write( "\"%28x-3%29%5E2\" = \"0\".\r\n" );
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document.write( "It has the root x = 3 of multiplicity 2.\r\n" );
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document.write( "Answer. The roots are x=0 of multiplicity 3 and x=3 of multiplicity 2.\r\n" );
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