document.write( "Question 612074: Can you give me step by step how to solve..\r
\n" ); document.write( "\n" ); document.write( "List all of the possible rational zeros of
\n" ); document.write( "2x^4-5x^3+3x^2-12x-6\r
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\n" ); document.write( "\n" ); document.write( "ALGEBRA 2 Problem. \n" ); document.write( "
Algebra.Com's Answer #385277 by vleith(2983)\"\" \"About 
You can put this solution on YOUR website!
The rational zeros theorem (also called the rational root theorem) is used to check whether a polynomial has rational roots (zeros). It provides a list of all possible rational roots of the polynomial equation , where all coefficients are integers. If the equation has rational roots p/q, where p and q are integers, then p must divide evenly into the constant term a0 and q must divide evenly into the leading coefficient an. In other words, p is a factor of ħa0 and q is a factor of ħan.
\n" ); document.write( "http://www.chegg.com/homework-help/definitions/rational-zeros-theorem-27\r
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\n" ); document.write( "\n" ); document.write( "get all the factors in the high order coefficient. Then get all the factors in the constant term\r
\n" ); document.write( "\n" ); document.write( "2 -- -2,-1,1,2
\n" ); document.write( "-6 -- -6,-3,-2,-1,1,2,3,6\r
\n" ); document.write( "\n" ); document.write( "now make every combination of the ratio of factors of -6 to factors of 2\r
\n" ); document.write( "\n" ); document.write( "-6/-2, -6/-1, -6/1, -6/2, -3/-2, .... 6/-2, 6/-1, 6/1, 6/2\r
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\n" ); document.write( "now eliminate all the duplicates, and you are done.\r
\n" ); document.write( "\n" ); document.write( "Note this does not mean all these numbers ARE roots, it merely says that if there are roots, then these are the only possible ones.
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