document.write( "Question 1188807: Find the quadratic function with integral coefficients having the given zeros of -2 and 7/2 \n" ); document.write( "
Algebra.Com's Answer #819985 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "Find the quadratic function with integral coefficients having the given zeros of -2 and 7/2
\n" ); document.write( "~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "The answer \"f%28x%29=x%5E2+-+%283%2F2%29x+-+7\" in the post by @MathLover1 is INCORRECT,\r\n" );
document.write( "\r\n" );
document.write( "since her polynomial is not with integer coefficients.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "To get a correct answer, you should multiply that polynomial by 2 to rid of the denominator.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, a correct answer is  f(x) = 2x^2 -3x - 14.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "You may use any integer multiple of the last polynomial, too,  for example\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    4x^2 - 6x - 28,\r\n" );
document.write( "\r\n" );
document.write( "or\r\n" );
document.write( "\r\n" );
document.write( "    6x^2 - 9x - 42.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "They define DIFFERENT QUADRATIC FUNCTIONS, but they all HAVE THE ASSIGNED ZEROES.\r\n" );
document.write( "
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "/\/\/\/\/\/\/\/\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "By the way,  the question in your post is posed  INCORRECTLY.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It asks about  \" the function \",  but in reality,  there are  MANY  such functions;\r
\n" ); document.write( "\n" ); document.write( "actually,  even  INFINITELY  MANY.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the correct question should be  \" find A quadratic function . . . \"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );