What is the completely factored form of 9x2 + 24x + 16? 
(3x + 8)(3x + 2)
(3x + 4)(3x + 4)
(9x + 8)(x + 2)
(9x + 4)(x + 4)

Solution:

Given polynomial is

9x² + 24x + 16

We can factor the polynomial by identifying the algebraic identity.

(3x)² + 2(12x) + 16

(3x)² + 2(3x)(4) + 4²

This is similar to a² + 2ab + b² = (a + b)²

Therefore, we can re-write as (3x + 4)²

We can write the square as product of each other.

(3x + 4)(3x + 4)

What is the completely factored form of 9x² + 24x + 16? 

Summary:

The completely factored form of 9x² + 24x + 16 is(3x + 4)(3x + 4).