document.write( "Question 1156239: Find a polynomial function of least degree with integer coefficients that has the given zeros. Leave your answer in factored form.
\n" ); document.write( "Zerosx= - 4, - 1,0,and (3/2)
\n" ); document.write( "

Algebra.Com's Answer #778936 by ikleyn(52780)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "Such a polynomial with rational coefficients is THIS\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    g(x) = \"%28x-%28-4%29%29%2A%28x-%28-1%29%29%2A%28x-0%29%2A%28x-+3%2F2%29\" = \"%28x%2B4%29%2A%28x%2B1%29%2Ax%2A%28x-3%2F2%29\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "To make the coefficients INTEGER numbers, multiply it by 2.  You will get then another polynomial\r\n" );
document.write( "\r\n" );
document.write( "    f(x) = (x+4)*(x+1)*x*(2x-3).     \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "which is just with INTEGER coefficients and is, therefore, your  ANSWER.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Next you can make FOIL to get the polynomial in a standard form.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );