document.write( "Question 977233: factor the polynomial and use the factored form to find the zeros
\n" ); document.write( "p(x)=x^4-3x^3+27x-81
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Algebra.Com's Answer #598750 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\"f%28x%29=x%5E4-3x%5E3%2B27x-81\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=%28x%5E4-3x%5E3%29%2B%2827x-81%29\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=x%5E3%28x-3%29%2B27%28x-3%29\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=%28x-3%29%28x%5E3%2B27%29\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=%28x-3%29%28x%2B3%29+%28x%5E2-3x%2B9%29\"\r
\n" ); document.write( "\n" ); document.write( "set \"f%28x%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"0=%28x-3%29%28x%2B3%29+%28x%5E2-3x%2B9%29\"\r
\n" ); document.write( "\n" ); document.write( "if \"0=%28x-3%29\"=>\"x=3\"
\n" ); document.write( "if \"0=%28x%2B3%29\"=>\"x=-3\"
\n" ); document.write( "if\"0=%28x%5E2-3x%2B9%29\"=>use quadratic formula\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\" \r
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-%28-3%29+%2B-+sqrt%28%28-3%29%5E2-4%2A1%2A9+%29%29%2F%282%2A1%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%283+%2B-+sqrt%289-36+%29%29%2F2+\"
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\n" ); document.write( "\n" ); document.write( "\"x+=+%283+%2B-+sqrt%28-27+%29%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%283+%2B-+sqrt%28-9%2A3+%29%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%283+%2B-+3i%2Asqrt%283+%29%29%2F2+\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%283%2F2%29%281+%2B-+3i%2Asqrt%283+%29%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%283%2F2%29+%281-i%2Asqrt%283%29%29\" and \"x+=+%283%2F2%29+%281%2Bi%2Asqrt%283%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "so, zeros are:(\"x%5B1%5D\",\"x%5B2%5D\",\"x%5B3%5D\",\"x%5B4%5D\")=(\"3\",\"-3\",\"%283%2F2%29+%281-i%2Asqrt%283%29%29\",\"%283%2F2%29+%281%2Bi%2Asqrt%283%29%29\")\r
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