the volume of the box is presented by (x^2 +5x + 6)(x+5).?

Question

Finds the polynimal that represents the area of the bottom box?

Answer 1

The question seems a little unclear: have you left info out? But let me take a stab.

The volume of a rectangular box is the length x width x height
If we assume that your formula is given in a similar form, then we need to get three factors from it. Right now it's only two. We can factor the quadratic to give:

(x^2 +5x + 6)(x+5) = (x+2)(x+3)(x+5)

We can then assume that the three parenthetical expressions are the three dimensions of the box. We don't know which is which, though. If we assume that the length and width are the largest dimension, and the height is the smallest (i.e., the box isn't as tall as it is in the other directions), then the area of the bottom of the box = length x width
= (x+3)(x+5)
= x^2 + 8x + 15

That's the polynomial that represents the area of the bottom of the box, given the assumptions we've made.

Answer 2

Your expression can be further factored as (x+2)(x+3)(x+5). Most likely, the box is (x+2) by (x+3) by (x+5), but that isn't guaranteed by the given expression. Is there a diagram to support this?

Assuming those dimensions are correct, we would need to know which two of those three dimensions are on the ground. If you know the height of the box, cross that one off the list; the remaining two are the dimensions of the base. Multiply them to find the area of the base.

Answer 3

ok you need to factor the first () it would be (x+2)(x+3). i need to know more about the area in order to help more... sorry but at least i got you started...