document.write( "Question 1186648: f(x) is a polynomial function of degree 3 whose coefficients are real numbers; its zeros are 4+i, 4-i, and 2+i. \n" ); document.write( "
Algebra.Com's Answer #817586 by ikleyn(52925)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "f(x) is a polynomial function of degree 3 whose coefficients are real numbers; its zeros are 4+i, 4-i, and 2+i.
\n" ); document.write( "~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "As described,  such a polynomial  DOES  NOT  exist.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Two roots are conjugated,  but the third root is not a real number.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The third root is a complex number,  which has no conjugate pair to make a polynomial with real coefficients.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "This problem is a  FAKE.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In addition,  since a question absents in the post,  it can not be called  \"Math problem\",  at all.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It is an essay / dream / cry about a non-existing polynomial, in encrypted form.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );