Question

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

Answer 1

The function `f(x)=-4x^8-9x^7+9x-4` has `color(red)("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.