document.write( "Question 668864: find a polynomial with a degree of 2 and an x of -2. \n" ); document.write( "
Algebra.Com's Answer #415914 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "In order to have a zero of -2 it must have a factor of (x+2) so that\r\n" );
document.write( "when (x+2) is set = 0, the result will be x = -2\r\n" );
document.write( "\r\n" );
document.write( "So suppose the other factor is, say, (3x-4).  You could\r\n" );
document.write( "make up any binomial for the second factor.  I just\r\n" );
document.write( "arbitrarily picked (3x-4).\r\n" );
document.write( "\r\n" );
document.write( "Then multiply it by (x+2):\r\n" );
document.write( "\r\n" );
document.write( "(3x-4)(x+2)\r\n" );
document.write( "\r\n" );
document.write( "FOIL it out:\r\n" );
document.write( "\r\n" );
document.write( "3x²+6x-4x-8\r\n" );
document.write( "\r\n" );
document.write( "Combine like terms:\r\n" );
document.write( "\r\n" );
document.write( "3x²+2x-8\r\n" );
document.write( "\r\n" );
document.write( "f(x) = 3x²+2x-8  is one possibility.  There are many others.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );