document.write( "Question 531345: Provide the requested response. Suppose that a polynomial function of degree 4 with rational coefficients has −3,−4,−5−ı as zeros. Find the other zero. \n" ); document.write( "

Algebra.Com's Answer #350420 by solver91311(24713) $\"\"$ $\"About$

You can put this solution on YOUR website!
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Why you would use Unicode #305 (dotless i) to represent the imaginary number

is beyond me. It is a regular old

with a dot and is defined as

.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Be that as it may, complex roots of polynomial equations ALWAYS come in conjugate pairs. That means if

is a root, then

is also a root. Your given complex root is

, so the other root is the conjugate of

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "John
\n" ); document.write( "

\n" ); document.write( "My calculator said it, I believe it, that settles it
\n" ); document.write( "

$\"The$

\n" ); document.write( " \n" ); document.write( "

\n" );