franklin used the polynomial expression $x(x - 3)(x + 4)$ to model the volume of a rectangular prism. what…

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?\na. $x$\nb. $x - 3$\nc. $x^{2}-3x$\nd. $x^{3}+x^{2}-12x$

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?\na. $x$\nb. $x - 3$\nc. $x^{2}-3x$\nd. $x^{3}+x^{2}-12x$

Answer

Explanation:

Step1: Analyze the expressions

The side - lengths of the rectangular prism are (x), (x - 3), (x+4).

Step2: Compare the expressions

For (x\gt3), we can compare the values of (x), (x - 3), and (x + 4). Subtracting 3 from (x) makes it smaller than (x), and adding 4 to (x) makes it larger than (x). So, when (x\gt3), (x-3\lt x\lt x + 4).

Answer:

B. (x - 3)