document.write( "Question 292594: I need to find the quotient using long division.
\n" ); document.write( "9a^3-3a^2-3a+4 divided by 3a+2 I understand the first step
\n" ); document.write( "9a^3/3a= 3a^2
\n" ); document.write( "then 3a^2(3a+2)= 9a^3+6a^2 leaving a balance of -9-3a+4
\n" ); document.write( "then -9/3a=-3a which brings me to
\n" ); document.write( "-3a(3a+2)=-9a^2-6a which leaves a balance of a^2+3a+4
\n" ); document.write( "here is where I am confused
\n" ); document.write( "if I perform a^2/3a I think the result is 1/3a\r
\n" ); document.write( "\n" ); document.write( "The answers state that quotient of 9a^3-3a^2-3a+4 divided by 3a+2 is equal to
\n" ); document.write( "3a^2-3a+1+ (2 over 3a+2) I am unsure how they solve the last expression. \n" ); document.write( "

Algebra.Com's Answer #211296 by richwmiller(17219) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "3 a | + | 2 | | 3 a^2 | - | 3 a | + | 1
\n" ); document.write( "9 a^3 | - | 3 a^2 | - | 3 a | + | 4
\n" ); document.write( "9 a^3 | + | 6 a^2 | | | |
\n" ); document.write( " | | -9 a^2 | - | 3 a | |
\n" ); document.write( " | | -9 a^2 | - | 6 a | |
\n" ); document.write( " | | | | 3 a | + | 4
\n" ); document.write( " | | | | 3 a | + | 2
\n" ); document.write( " | | | | | | 2\r
\n" ); document.write( "\n" ); document.write( "the book answer is correct \n" ); document.write( "

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