Question

according to the fundamental theorem of algebra, how many solutions does this polynomial have?
y = 3x(x - 4)

a. 1
b. 2
c. 3
d. 4

Explanation:

Step1: Expand the polynomial

$y = 3x(x-4) = 3x^2 - 12x$

Step2: Identify polynomial degree

The highest power of $x$ is 2, so degree $n=2$.

Step3: Apply Fundamental Theorem of Algebra

A degree $n$ polynomial has $n$ complex solutions.

Answer:

B. 2