document.write( "Question 379081: write a polynomial in compelete factored form that has a degree of 4, leading coefficient of -3, and zeros at 1,2, and -i and f(0)=8. also, find the expanded form please! \n" ); document.write( "

Algebra.Com's Answer #269213 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
You have overdefined the problem which leaves it not solvable.
\n" ); document.write( "If $\"x=-i\"$ is a zero, then so is $\"x=i\"$
\n" ); document.write( " $\"f%28x%29=-3%28x-1%29%28x-2%29%28x%2Bi%29%28x-i%29\"$
\n" ); document.write( " $\"f%28x%29=-3%28x%5E2-3x%2B2%29%28x%5E2%2B1%29\"$
\n" ); document.write( "However,
\n" ); document.write( " $\"f%280%29=-3%282%29%281%29=-6\"$ and does not equal $\"8\"$ .
\n" ); document.write( "So there is no solution.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );