Question

Franklin used the polynomial expression x(x−3)(x+4) to model the volume of a rectangular prism. What is the length of the shortest side of this prism? A x B x−3 C x2−3x D x3+x2−12x

Answer 1

Answer:

$x - 3$

Step-by-step explanation:

Given

$Volume = x(x - 3)(x + 4)$

Required

The shortest side

The volume of a rectangular prism is:

$Volume = Length * Width * Height$

By comparison, we have:

$Length = x$

$Width = x-3$

$Height = x + 4$

In ascending order, the sides are:

$Width = x-3$

$Length = x$

$Height = x + 4$

This is so because:

Irrespective of the value of x

x - 3 will be less than x

x + 4 will be more than x

Hence, the shortest length is:

$Width = x-3$

Answer 2

Answer:

b

Step-by-step explanation: