document.write( "Question 62796: find the polynomial f(X) of degree three that has zeroes at 1,2 and 4 such that f(0)= -16. \n" ); document.write( "
Algebra.Com's Answer #43809 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
find the polynomial f(X) of degree three that has zeroes at 1,2 and 4 such that f(0)= -16.
\n" ); document.write( "---------
\n" ); document.write( "f(x)=a(x-1)(x-2)(x-4)
\n" ); document.write( "f(0)=a(-1)(-2)(-4)=-8a
\n" ); document.write( "-8a=-16
\n" ); document.write( "a=2
\n" ); document.write( "--------
\n" ); document.write( "EQUATION:
\n" ); document.write( "f(x)=2(x-1)(x-2)(x-4)
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" ); document.write( "
\n" );