How many zeros does the function #f(x)= -4x^8-9x^7+9x-4# have?
According to the "Fundamental Theorem of Algebra", a polynomial of degree
The degree is the value of the greatest exponent of any term (except the constant ) in the polynomial.
Your function is an eighth degree polynomial, so it has eight zeroes.
These can be a mix of rational, irrational, and complex zeroes.