document.write( "Question 921286: use synthetic division to determine if 3 is a zero of 2y^3-3y^2-5y \n" ); document.write( "
Algebra.Com's Answer #558932 by josgarithmetic(39623)![]() ![]() ![]() You can put this solution on YOUR website! The dividend coefficients are 2,-3,-5,0. You must include all of them. There is an alternative, but ...\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A root of 3 means a binomial factor (divisor) of x-3.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The synthetic division without explanation goes this way:\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "_______3____|________2______-3______-5_______0 \n" ); document.write( "____________| \n" ); document.write( "____________|_______________6_______9________12 \n" ); document.write( "____________|______________________________________ \n" ); document.write( "____________|_______2_______3________4_______12\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The remainder is 12, which is NOT zero. \n" ); document.write( "Three is not a root of the polynomial. \n" ); document.write( " |