document.write( "Question 1127820: Someone please help me with this question.\r
\n" ); document.write( "\n" ); document.write( "What are the factors of the polynomial function?\r
\n" ); document.write( "\n" ); document.write( "Use the rational root theorem to determine the factors.\r
\n" ); document.write( "\n" ); document.write( "\"+f%28x%29=+2x%5E3+%2B+x%5E2+-+8x+-+4++\"\r
\n" ); document.write( "\n" ); document.write( "Select EACH correct answer.\r
\n" ); document.write( "\n" ); document.write( "A. (2x + 1)\r
\n" ); document.write( "\n" ); document.write( "B. (2x - 1)\r
\n" ); document.write( "\n" ); document.write( "C. (x + 2)\r
\n" ); document.write( "\n" ); document.write( "D. (x - 2)\r
\n" ); document.write( "\n" ); document.write( "E. (x - 1)\r
\n" ); document.write( "\n" ); document.write( "F. (x + 1)\r
\n" ); document.write( "\n" ); document.write( "G. (x - 4)\r
\n" ); document.write( "\n" ); document.write( "H. (x + 4)
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Algebra.Com's Answer #744325 by ikleyn(52802)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "The simplest way to solve the problem and to answer the question is TO IGNORE THEIR INSTRUCTION about using \r\n" );
document.write( "the Rational Root theorem, and to factor the given polynomial using the grouping method\r\n" );
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document.write( "    \"2x%5E3+%2B+x%5E2+-+8x+-+4\" = \"%282x%5E3-8x%29\" + \"%28x%5E2-4%29\" = \"2x%2A%28x%5E2-4%29\" + \"%28x%5E2-4%29\" = \"%28x%5E2-4%29%2A%282x%2B1%29\" = (x-2)*(x+2)*(2x+1).\r\n" );
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document.write( "Thus the correct answers are  these and only these  A),  C), and  D).\r\n" );
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document.write( "I am  129%  sure that the original problem  (without their instruction on using Rational Root theorem) \r\n" );
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document.write( "was designed and intended to be solved exactly in this way,  and only later,  in its journey over the Internet, \r\n" );
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document.write( "this addition was mistakenly made about using the Rational Root theorem.\r\n" );
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