If f(x) = 3x^2 and g(x) = 4x^3 + 1, what is the degree of (fg)(x)?

degree 5

Step-by-step explanation:

(fg)(x) = f(x) × g(x)

f(x) × g(x) = 3x²(4x³ + 1) = 12 + 3x²

The degree of the polynomial is determined by the value of the largest exponent, that is

12 ← largest exponent of 5

Hence (fg)(x) is of degree 5