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

1 Answer
Aug 19, 2015

Answer:

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.