Simple 1 Question

Whatever the highest degree is in a polynomial is the number of complex factors.

Therefore, in this equation there are 4 real complex numbers.

x^4 + 5x^2 + 6  = 0

We  can factor this as

(x^2  + 3) (x^2 + 2)  = 0

Setting each factor to 0  we have that

x^2  + 3  =  0               x^2  + 2  = 0

x^2  =  -3                     x^2  =  -2

Note that no real numbers make these true, so, there are 4 complex zeroes