document.write( "Question 151345: The remainder when x+3 divides x^4+7x^3-15x^2-8x+m is 23. find the value of m.
\n" );
document.write( "could you explain step by step the procedure?
\n" );
document.write( "thanks \n" );
document.write( "
Algebra.Com's Answer #111269 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The remainder when x+3 divides x^4+7x^3-15x^2-8x+m is 23. find the value of m. \n" ); document.write( ": \n" ); document.write( "Use synthetic division: \n" ); document.write( ": \n" ); document.write( ".....____________________ \n" ); document.write( "-3|1 + 7 - 15 - 8 + m \n" ); document.write( "..........-3 - 12 + 81 - 219 \n" ); document.write( ".....------------------------ \n" ); document.write( ".......1 + 4 - 27 + 73 + 23 \n" ); document.write( ": \n" ); document.write( "Note we included the remainder, and m \n" ); document.write( "We ask,\"What value of m, if 219 is subtracted, give us 23: \n" ); document.write( "An equation for this statement would be: \n" ); document.write( ": \n" ); document.write( "-219 + m = 23 \n" ); document.write( "m = 23 + 219 \n" ); document.write( "m = 242 \n" ); document.write( ": \n" ); document.write( "you can check this using normal long division \n" ); document.write( "; \n" ); document.write( "...........--------------------------------- \n" ); document.write( "(x+3)|x^4 + 7x^3 - 15x^2 + 8x + 242 \n" ); document.write( "; \n" ); document.write( "See if you can do this. Let me know if you have difficulty with this. \n" ); document.write( " |