document.write( "Question 1045631: How to factor8x^4-14x^2+3 \n" ); document.write( "

Algebra.Com's Answer #661110 by ikleyn(52858) $\"\"$ $\"About$

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\n" ); document.write( "How to factor 8x^4-14x^2+3
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document.write( "1.  Introduce new variable  u = .\r\n" );
document.write( "    Then the polynomial takes the form  .\r\n" );
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document.write( "2.  Find the roots of the polynomial  .\r\n" );
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document.write( "    For it, solve the quadratic equation   = .\r\n" );
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document.write( "    Use the quadratic formula. You will get \r\n" );
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document.write( "     =  = .\r\n" );
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document.write( "    So,   =   and   = .\r\n" );
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document.write( "3.  Hence, the quadratic polynomial    is\r\n" );
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document.write( "     =  = (2u-3)*(4u-1).\r\n" );
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document.write( "    Correspondingly,  the  original polynomial factorization is \r\n" );
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document.write( "     = .\r\n" );
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document.write( "4.  Next, you can factor further each of the two factors above to get\r\n" );
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document.write( "     = .\r\n" );
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document.write( "It is what you were asking for.\r\n" );
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