document.write( "Question 1200216: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x=1 and x=0, and a root of multiplicity 1 at x=−3
\n" ); document.write( "Find a possible formula for P(x).\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #834279 by ikleyn(52834)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "At given conditions, a possible formula for P(x) is\r\n" );
document.write( "\r\n" );
document.write( "    P(x) = \"x%5E2%2A%28x-1%29%5E2%2A%28x%2B3%29\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "As a product of elementary binomial factors, this formula is UNIQUE.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "You can transform it to any other equivalent form opening brackets (making FOIL).\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );