Let the roots of the given polynomial (call it P) be z1 thru z9.
Then P=(zz1)(zz2)*…(zz9).
If you start to multiply this out you can see that the z^0 term (=1) must be equal to (z1*z2*…z9), or, (1)(z1*z2*…z9).
So, 1=1 * (product of all the roots), so that product must be 1.
Edited on August 20, 2024, 5:34 pm

Posted by Kenny M
on 20240820 17:33:26 