document.write( "Question 1085036: Please help me solve this question\r
\n" ); document.write( "\n" ); document.write( "Use polynomial division to rewrite the following rational expression.\r
\n" ); document.write( "\n" ); document.write( "(30x^3-8x^2-6x-3)/(5x+2)\r
\n" ); document.write( "\n" ); document.write( "The answer should take the following form, such that q(x) is the quotient, r(x) is the remainder, and b(x) is the divisor.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #699037 by josgarithmetic(39617) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "             6x^2    -4x    \r\n" );
document.write( "      ______________________________________\r\n" );
document.write( "5x+2  |     30x^3   -8x^2   -6x   -3\r\n" );
document.write( "      |     30x^3   12x^2\r\n" );
document.write( "      --------------------\r\n" );
document.write( "             0     -20x^2   -6x\r\n" );
document.write( "                   -20x^2   -8x\r\n" );
document.write( "                  --------------\r\n" );
document.write( "                     0       2x   -3\r\n" );
document.write( "                             2x  \r\n" );
document.write( "                           ----------------\r\n" );
document.write( "                             0    \r\n" );
document.write( "\r\n" );
document.write( "

\n" ); document.write( "Remainder is $\"-%283%2B4%2F5%29=-%2815%2F5%2B4%2F5%29=-19%2F5\"$ .\r
\n" ); document.write( "\n" ); document.write( "Original rational expression after division operation,
\n" ); document.write( " $\"6x%5E2-4x%2B2%2F5-19%2F%285%285x%2B2%29%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"highlight%286x%5E2-4x%2B2%2F5-19%2F%2825x%2B10%29%29\"$ \n" ); document.write( "

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