Question

For the following function: f(x)=x^4-3 Find the maximum number of real zeros, and
Use Descartes's rule of signs to determine how many positive and how many negative zeros the function has. You do not need to find the zeros.

Answer 1

1 negative, 1 positive, 2 complex conjugates

Answer 2

f(x)=x^4-3 has 1 sign change, 1 positive real zero
f(-x)=(-x)^4-3=x^4-3, 1 sign change, 1 negative real zero
the other 2 are complex conjuages