document.write( "Question 77299This question is from textbook elementary algebra
\n" ); document.write( ": I need help on long division by binomials
\n" ); document.write( "This question is in the Summary section of Chapter 5 and should be done the long way.\r
\n" ); document.write( "\n" ); document.write( "(x^2 + 9x -1) divided by (x + 5)
\n" ); document.write( "Thanks!!!\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #55395 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
what number multiplied by x gets you x^2? The answer is x. Place x over x^2. Now multiply by x and place it underneath x^2. Multiply x by 5 and place it under 9x\r
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "    __x___________\r\n" );
document.write( "x+5 | x^2 + 9x - 1           \r\n" );
document.write( "      x^2 + 5x\r\n" );
document.write( "    ----------------\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Now subtract the second line from the first\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "    __x___________\r\n" );
document.write( "x+5 | x^2 + 9x - 1           \r\n" );
document.write( "    -(x^2 + 5x)\r\n" );
document.write( "    ----------------\r\n" );
document.write( "            4x - 1\r\n" );
document.write( "\r\n" );
document.write( "

\n" ); document.write( "Now what number multiplied by x gives you 4x? The answer is 4. Place this number over 9x and multiply it by (x+5). Place the product of 4(x+5) under 4x -1 and subtract\r
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "    __x___+_4_______\r\n" );
document.write( "x+5 | x^2 + 9x - 1           \r\n" );
document.write( "    -(x^2 + 5x)\r\n" );
document.write( "    ----------------\r\n" );
document.write( "            4x - 1\r\n" );
document.write( "          -(4x + 20)\r\n" );
document.write( "          -----------\r\n" );
document.write( "                -21\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "So our quotient is $\"x%2B4%2B%28-21%29%2F%28x%2B5%29\"$ in other words:\r
\n" ); document.write( "\n" ); document.write( " $\"%28x%5E2+%2B+9x+-+1%29%2F%28x%2B5%29=x%2B4%2B%28-21%29%2F%28x%2B5%29\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );