document.write( "Question 1154822: What are the rational zeroes for f(x) = x^3 − 2x^2 − x + 2? \n" ); document.write( "
Algebra.Com's Answer #777312 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "First try all integer divisors of the constant term 2, i.e. +/-1 and +/-2.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Or use the grouping method\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^3 − 2x^2 − x + 2 = (x^3-2x^2) - (x-2) = x^2*(x-2) - (x-2) = (x^2 -1)*(x-2) = (x-1)*(x+1)*(x+2).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "All rational zeroes are 1, - 1 and -2. \n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |