document.write( "Question 624720: Can this polynomial be factored?
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document.write( "16•a^2-56•xy+49•b^2 or
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document.write( "30•x^3+25•x^2+5y \n" );
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Algebra.Com's Answer #392970 by Edwin McCravy(20054)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "16a²-56xy+49b²\r\n" ); document.write( "\r\n" ); document.write( "does not factor. \r\n" ); document.write( "--------------------------------\r\n" ); document.write( "\r\n" ); document.write( "However if the xy had been ab, then\r\n" ); document.write( "\r\n" ); document.write( "16a²-56ab+49b²\r\n" ); document.write( "\r\n" ); document.write( "would have factored as\r\n" ); document.write( "\r\n" ); document.write( "(4a-7b)(4a-7b)\r\n" ); document.write( "\r\n" ); document.write( "(4x-7b)²\r\n" ); document.write( "\r\n" ); document.write( "------------------------------------\r\n" ); document.write( "\r\n" ); document.write( "30x³+25x²+5y\r\n" ); document.write( "\r\n" ); document.write( "factors only by taking out common factor 5\r\n" ); document.write( "\r\n" ); document.write( "5(6x³+5x²+y)\r\n" ); document.write( "\r\n" ); document.write( "--------------------------\r\n" ); document.write( "\r\n" ); document.write( "However if the y had been an x\r\n" ); document.write( "\r\n" ); document.write( "30x³+25x²+5x would become\r\n" ); document.write( "\r\n" ); document.write( "5(6x³+5x²+1) which would become\r\n" ); document.write( "\r\n" ); document.write( "5(3x+1)(2x+1)\r\n" ); document.write( "\r\n" ); document.write( "These problems were designed to show you that you have to\r\n" ); document.write( "be careful to look at the variables.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |