document.write( "Question 322027: one factor of x^3 + 1 is (x + 1). what is the other factor ? \n" ); document.write( "
Algebra.Com's Answer #230531 by nyc_function(2741)![]() ![]() You can put this solution on YOUR website! Use the sum of cubes formula.\r \n" ); document.write( "\n" ); document.write( "A^3 + B^3 = (A + B)(A^2 - AB + B^2)\r \n" ); document.write( "\n" ); document.write( "x^3 + 1 = x^3 + 1^3\r \n" ); document.write( "\n" ); document.write( "Let A = x\r \n" ); document.write( "\n" ); document.write( "Let B = 1\r \n" ); document.write( "\n" ); document.write( "x^3 + 1 = (x + 1)(x^2 - (x)(1) + 1^2)\r \n" ); document.write( "\n" ); document.write( "x^3 + 1 = (x + 1)(x^2 - x + 1)\r \n" ); document.write( "\n" ); document.write( "The other factor is (x^2 - x + 1). \n" ); document.write( " \n" ); document.write( " |