State how many complex and real zeros the function has.
-$$f ( x ) = x ^ { 5 } + 7 x ^ { 4 } + 2 x ^ { 3 } + 14 x ^ { 2 } + x + 7$$
A) 5 complex zeros; 1 real
B) 5 complex zeros; all 5 real
C) 5 complex zeros; 3 real
D) 5 complex zeros; 2 real

Question

Quizplus · Accepted Answer

A polynomial of degree 5 has exactly 5 complex zeros (counting multiplicities), and at least one of these zeros must be real.

State How Many Complex and Real Zeros the Function Has f(x)=x5+7x4+2x3+14x2+x+7f ( x ) = x ^ { 5 } + 7 x ^ { 4 } + 2 x ^ { 3 } + 14 x ^ { 2 } + x + 7f(x)=x5+7x4+2x3+14x2+x+7

State How Many Complex and Real Zeros the Function Has $f ( x ) = x ^ { 5 } + 7 x ^ { 4 } + 2 x ^ { 3 } + 14 x ^ { 2 } + x + 7$