Number of complex zeros for the polynomial function
f(x)=x^4+5x^2+6
When you say complex, do you mean non-real?
This is a 4th degree polynomial. There are clearly 4 complex zeros.
However it looks like some of them might be real.
x4+5x2+6=(x2+3)(x2+2)
Nope. None of these zeros are real. So there are 4 complex zeros.
Given that factors can you quickly list off what they are?
When you say complex, do you mean non-real?
This is a 4th degree polynomial. There are clearly 4 complex zeros.
However it looks like some of them might be real.
x4+5x2+6=(x2+3)(x2+2)
Nope. None of these zeros are real. So there are 4 complex zeros.
Given that factors can you quickly list off what they are?