document.write( "Question 1049443: The problem I'm stuck on is:\r
\n" ); document.write( "\n" ); document.write( "Given the zeros, -4, 5, -2, -√14, -2i; write a polynomial function or least degree that has rational coefficients. \r
\n" ); document.write( "\n" ); document.write( "The part I'm stuck on is the roots -2i and -√14. I know that I need to use the quadratic equation to figure out that part of the equation. Also, I remember that for the others I need to write out:\r
\n" ); document.write( "\n" ); document.write( "(x+4)(x-5)(x+2)\r
\n" ); document.write( "\n" ); document.write( "I'm really struggling with this one so help would be very appreciated!! \n" ); document.write( "

Algebra.Com's Answer #664989 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
Given the zeros, -4, 5, -2, -√14, -2i; write a polynomial function or least degree that has rational coefficients.
\n" ); document.write( "-----
\n" ); document.write( "To arrive at rational coefficients -sqrt(14) must be paired with +sqrt(14)
\n" ); document.write( "and +2i must be paired with -2i.
\n" ); document.write( "----
\n" ); document.write( "Then:
\n" ); document.write( "f(x) = (x+4)(x-5)(x+2)(x+sqrt(14))(x-sqrt(14)(x+2i)(x-2i)
\n" ); document.write( "----
\n" ); document.write( "f(x) = (x+4)(x-5)(x+2)(x^2-14)(x^2+4)
\n" ); document.write( "etc.
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "---------- \n" ); document.write( "

\n" );