# How many zeros does the function f(x)= -4x^8-9x^7+9x-4 have?

Aug 19, 2015

#### Answer:

The function $f \left(x\right) = - 4 {x}^{8} - 9 {x}^{7} + 9 x - 4$ has $\textcolor{red}{\text{eight zeroes}}$.

#### Explanation:

According to the "Fundamental Theorem of Algebra", a polynomial of degree $n$ has $n$ zeroes.

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.