Multiply the following polynomials.

4a(a²+7a+4)

A) 4a+28a² + 16a

B) 4a³ +28a² + 16a

C) 4a³ +44a

D) 44a^4

B) 4a³ +28a² + 16a

To multiply the polynomials 4a and (a²+7a+4), we will use the distributive property.

1. Multiply 4a by each term inside the parentheses:

4a * a² = 4a³
4a * 7a = 28a²
4a * 4 = 16a

2. Combine the like terms:

4a³ + 28a² + 16a

Therefore, the correct answer is B) 4a³ + 28a² + 16a.