document.write( "Question 248447: Hi - last one for the assignment!\r
\n" ); document.write( "\n" ); document.write( "I am doing well in this class, but this chapter truly has me stumped!\r
\n" ); document.write( "\n" ); document.write( "Problem:
\n" ); document.write( "-3x^3+4x^2-x-2 for x = -2\r
\n" ); document.write( "\n" ); document.write( "Again - I can't thank you folks enough! \n" ); document.write( "
Algebra.Com's Answer #181057 by jsmallt9(3758)\"\" \"About 
You can put this solution on YOUR website!
I assume the problem is to evaluate
\n" ); document.write( "\"-3x%5E3%2B4x%5E2-x-2\" for x = -2

\n" ); document.write( "There are two ways to do this:
  • Use Synthetic Division:
    \n" ); document.write( "
    \r\n" );
document.write( "-2 |  -3  4  -1  -2\r\n" );
document.write( "----      6 -20  42\r\n" );
document.write( "      --------------\r\n" );
document.write( "      -3 10 -21  40\r\n" );
document.write( "

    \n" ); document.write( "The expression has a value of 40 (the remainder above) when x = -2. (If you don;t know why, look up the Remainder Theorem.)
  • Straightforward. Just substitute -2 into the expression for x:
    \n" ); document.write( "\"-3%28-2%29%5E3+%2B+4%28-2%29%5E2+-+%28-2%29+-+2\"
    \n" ); document.write( "and simplify:
    \n" ); document.write( "\"-3%28-8%29+%2B+4%284%29+%2B+2+-+2\"
    \n" ); document.write( "\"24+%2B+16+%2B+2+-+2\"
    \n" ); document.write( "\"40\"
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