document.write( "Question 472744: What is a fourth degree polynomial with integer coefficients that has the given zeros: 0,3,-2i. \n" ); document.write( "
Algebra.Com's Answer #324080 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
What is a fourth degree polynomial with integer coefficients that has the given zeros: 0,3,-2i.
\n" ); document.write( "------------
\n" ); document.write( "Since the coefficients are integer, 2i is also a root.
\n" ); document.write( "-----------------
\n" ); document.write( "f(x) = ax(x-3)(x-2i)(x+2i)
\n" ); document.write( "----
\n" ); document.write( "f(x) = ax(x-3)(x^2+4)
\n" ); document.write( "f(x) = x[x^3-3x^2+4x-12)
\n" ); document.write( "---
\n" ); document.write( "f(x) = x^4-3x^3+4x^2-12x
\n" ); document.write( "---------------------------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "============
\n" ); document.write( "
\n" );