Question

According to the fundamental theorem of algebra, how many zeros does the function f(x) = 3x4 + x + 2 have? (30 points)

Answer 1

Answer:

4 zeroes

Step-by-step explanation:

Fundamental theorem states that "Every polynomial function of positive degree with complex coefficients has at least one complex zero".

Polynomials always have as many roots as their order.

Given Equation is f(x) = 3x⁴ + x + 2.

In the given equation, f(x) is of degree 4, so it has exactly 4 zeroes counting multiplicity.

Therefore, the function f(x) has 4 zeroes.

Hope it helps!

Answer 2

According to the fundamental theorm f(x) has at most 4 zeros