document.write( "Question 472015: Find all of the zeros of the polynomial 3x3 – x2 – 3x + 1 \n" ); document.write( "

Algebra.Com's Answer #323664 by Edwin McCravy(20059) $\"\"$ $\"About$

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document.write( "3x³–x²–3x+1\r\n" );
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document.write( "Factor x² out of the first two terms:\r\n" );
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document.write( "x²(3x-1)-3x+1\r\n" );
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document.write( "Factor -1 out of the last two terms:\r\n" );
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document.write( "x²(3x-1)-1(3x-1)\r\n" );
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document.write( "Factor out (3x-1)\r\n" );
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document.write( "(3x-1)(x²-1)\r\n" );
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document.write( "Factor the second parenthesis as the difference of two squares:\r\n" );
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document.write( "(3x-1)(x-1)(x+1)\r\n" );
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document.write( "Set each factor = 0\r\n" );
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document.write( "3x-1=0   x-1=0   x+1=0\r\n" );
document.write( "  3x=1     x=1     x=-1\r\n" );
document.write( "   x=\r\n" );
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document.write( "The zeros are , 1, and -1\r\n" );
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document.write( "Edwin

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