document.write( "Question 40925: Find a polynomial of the lowest degree with only real coefiecients and having the given zeroes
\n" ); document.write( "-5i amd rad 2 \n" ); document.write( "
Algebra.Com's Answer #26335 by fractalier(6550)\"\" \"About 
You can put this solution on YOUR website!
Well, since both complex roots and irrational roots come in conjugate pairs, we know that there are a minimum of four roots here...they are ± 5i and ± rad(2)...thus we have
\n" ); document.write( "(x - 5i)(x + 5i)(x - sqrt(2))(x + sqrt(2)) = 0
\n" ); document.write( "now multiply it out...I'll do it in pairs...
\n" ); document.write( "(x^2 + 25)(x^2 - 2) = 0
\n" ); document.write( "x^4 + 23x^2 - 50 = 0 \n" ); document.write( "
\n" );