document.write( "Question 452963: I am having a problem factoring this one 14a^(2)-45a-14 \n" ); document.write( "

Algebra.Com's Answer #853383 by ikleyn(53617) $\"\"$ $\"About$

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\n" ); document.write( "I am having a problem factoring this one 14a^2-45a-14.
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\n" ); document.write( "\n" ); document.write( "        The standard treatment of this problem and many other similar problems is to find \r
\n" ); document.write( "\n" ); document.write( "        the roots of a polynomial and then to decompose the polynomial.\r
\n" ); document.write( "\n" ); document.write( "        @mananth in his post started the job, but not completed it, so I came to do everything \r
\n" ); document.write( "\n" ); document.write( "        from the beginning to the end.\r
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document.write( "Find the roots of the given polynomial using the quadratic formula\r\n" );
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document.write( "    d = b^2 - 4ac = 45^2 - 4*14*(-14) = 2809\r\n" );
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document.write( "     =  =  =  =  = ;\r\n" );
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document.write( "     =  =  =  =  = .\r\n" );
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document.write( "Therefore, the decomposition of our polynomial is\r\n" );
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document.write( "    14a^2 - 45a - 14 =  = (2a-7)*(7a+2).\r\n" );
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document.write( "ANSWER.  14a^2 - 45a - 14 = (2a-7)*(7a+2).\r\n" );
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