document.write( "Question 1209675: Find the quotient and remainder when p(x) is divided by q(x)$, where p(x) = x^4 - x^2 + 3x - 7 and q(x) = x^2 + 2x - 5. \n" ); document.write( "
Algebra.Com's Answer #849789 by CPhill(1987)\"\" \"About 
You can put this solution on YOUR website!
Here's how to perform polynomial long division to find the quotient and remainder:\r
\n" ); document.write( "\n" ); document.write( "```
\n" ); document.write( "x^2 - 2x + 8
\n" ); document.write( "------------------
\n" ); document.write( "x^2 + 2x - 5 | x^4 + 0x^3 - x^2 + 3x - 7
\n" ); document.write( " x^4 + 2x^3 - 5x^2
\n" ); document.write( " ------------------
\n" ); document.write( " -2x^3 + 4x^2 + 3x
\n" ); document.write( " -2x^3 - 4x^2 + 10x
\n" ); document.write( " ------------------
\n" ); document.write( " 8x^2 - 7x - 7
\n" ); document.write( " 8x^2 + 16x - 40
\n" ); document.write( " ------------------
\n" ); document.write( " -23x + 33
\n" ); document.write( "```\r
\n" ); document.write( "\n" ); document.write( "Therefore:\r
\n" ); document.write( "\n" ); document.write( "* **Quotient:** x² - 2x + 8
\n" ); document.write( "* **Remainder:** -23x + 33
\n" ); document.write( " \n" ); document.write( "
\n" );