Question

question 9 of 25
according to the fundamental theorem of algebra, how many zeros does the polynomial below have?
$f(x) = x^4 + 5x^3 + 10x^2 + 20x + 24$

Explanation:

Step1: Identify polynomial degree

The polynomial is $f(x) = x^4 + 5x^3 + 10x^2 + 20x + 24$, so degree $n=4$.

Step2: Apply Fundamental Theorem of Algebra

A degree $n$ polynomial has $n$ zeros (counting multiplicities) in complex numbers.

Answer:

4