document.write( "Question 1132207: The Polynomial of degree 5,p(x) has leading coefficient 1, has roots of multiplicity 2 at x = 5 and x = 0, and a root of multiplicity 1 at x = -1\r
\n" ); document.write( "\n" ); document.write( "Find a possible Formula for p(x)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #749168 by ikleyn(52786) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "    p(x) = , \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "or, which is the same,\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    p(x) = .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Each root    generates, creates and produces the factor   of the polynomial.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Under the given condition, such a polynomial is unique: there is no other with the given properties.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );