Question

question 3 of 10
how many solutions over the complex number system does this polynomial have?
$3x^6 - x^3 - 4x^2 + 3x + 52 = 0$
enter your answer as an integer.
answer here

Explanation:

Step1: Identify polynomial degree

The polynomial is $3x^6 - x^3 - 4x^2 + 3x + 52 = 0$, so its degree is 6.

Step2: Apply Fundamental Theorem of Algebra

A degree $n$ polynomial has $n$ complex solutions (counting multiplicities).

Answer:

6