Please Help! How do I work this?
The Volume of the box is represented by (x^2+5x+6)(x+5). Find the polynomial that represents the area of the bottom of the box.
V = (x^2 + 5x + 6)(x + 5) = (x + 2)(x + 3)(x + 5)
To find the polynomial that represents the area of the bottom of the box, we need to factorize the expression for the volume and identify the factors that represent the dimensions of the box.
Given that the volume of the box is represented by (x^2+5x+6)(x+5), let's factorize it.
We start by factoring the quadratic expression x^2+5x+6:
The quadratic expression can be factored as (x+2)(x+3).
Now, the expression for the volume becomes (x+2)(x+3)(x+5).
To find the polynomial that represents the area of the bottom of the box, we need to identify the factors that represent the dimensions of the bottom.
The dimensions of the box are (x+2) and (x+3). So, the polynomial that represents the area of the bottom of the box is (x+2)(x+3).