document.write( "Question 1146566: Obtain the quotient and remainder when h(z)=4z^2+2z^2+3z-5 is divided by 2z+3 \n" ); document.write( "
Algebra.Com's Answer #767852 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "I don't want to do your problem for you.  I have worked yours and have\r\n" );
document.write( "noticed what is probably the reason you had trouble with this one.  It\r\n" );
document.write( "involves a situation where one whole number does not divide evenly into\r\n" );
document.write( "another and we must use a fraction or decimal instead of a whole number.\r\n" );
document.write( "\r\n" );
document.write( "So here is another problem exactly like yours that involves the same\r\n" );
document.write( "situation:\r\n" );
document.write( "\r\n" );
document.write( "Obtain the quotient and remainder when h(z)=12z³+3z²+7z-2 is divided by\r\n" );
document.write( "4z+5.\r\n" );
document.write( "\r\n" );
document.write( "You probably got this far with your long division problem correspondingly:\r\n" );
document.write( "\r\n" );
document.write( "               3z² -  3z        \r\n" );
document.write( "4z + 5)12z³ +  3z² +  7z -  2\r\n" );
document.write( "       12z³ + 15z²\r\n" );
document.write( "             -12z² +  7z\r\n" );
document.write( "             -12z² - 15z \r\n" );
document.write( "                     22z -  2\r\n" );
document.write( "                       \r\n" );
document.write( "                                         \r\n" );
document.write( "\r\n" );
document.write( "but were stumped because 4z does not divide evenly into 22z.\r\n" );
document.write( "\r\n" );
document.write( "So what we do is divide 22 by 4 and get the decimal 5.5 and \r\n" );
document.write( "finish like this:\r\n" );
document.write( "\r\n" );
document.write( "               3z² -  3z +  5.5\r\n" );
document.write( "4z + 5)12z³ +  3z² +  7z -  2\r\n" );
document.write( "       12z³ + 15z²\r\n" );
document.write( "             -12z² +  7z\r\n" );
document.write( "             -12z² - 15z \r\n" );
document.write( "                     22z -  2\r\n" );
document.write( "                     22z + 27.5  \r\n" );
document.write( "                          -29.5\r\n" );
document.write( "\r\n" );
document.write( "The quotient is 3z²-3z+5.5 and the remainder is -29.5.\r\n" );
document.write( "\r\n" );
document.write( "Now use this as a guide and do your long division problem\r\n" );
document.write( "the same way.  If you have trouble, ask me in the form at\r\n" );
document.write( "the bottom and I'll get back to you by email.  There is \r\n" );
document.write( "never any charge.  \r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );