Thread: Monic polynomial

Looking for help:
Suppose f(x) belongs to C[x] is a monic polynomial of degree n with roots c_1, c_2, ..., c_n. Prove that the sum of roots is -a_n-1 and their product is
(-1)^na_0.

Originally Posted by chadlyter

Looking for help:
Suppose f(x) belongs to C[x] is a monic polynomial of degree n with roots c_1, c_2, ..., c_n. Prove that the sum of roots is -a_n-1 and their product is
(-1)^na_0.

It is a seemingly simple theorem.
Trojan.Virtumonde.Panda