Simplify the Polynomial Fraction: (16x-4x²)/(4-x)

Let's simplify the given expression:

$\frac{16x-4x^2}{4-x}$Remember that we can reduce complete expressions only when both the numerator and denominator are completely factored into multiplication expressions,

We will use factorization, identify that in the numerator we can factor out a common term, then reduce the expressions in the obtained fraction(reduction sign):

$\frac{16x-4x^2}{4-x} \\ \frac{4x(x-4)}{x-4} \\ \downarrow\\ \boxed{4x}$Therefore, the correct answer is answer B.