Dimensions: x by 3x by x3
area of base = x(3x) = 3x2
box 2: dimensions: x by 4x – 1 by x3
area of base = x(4x – 1) = 4x2 – x

complete the statements about the number of terms in the polynomial representing the volume of each box.

The highest power of a variable in any polynomial is called the degree of the polynomial. Total number of term in any one variable polynomial is always one more than of its degree. Total number of terms in box 1 is 1 and in box 2 is 2.

Dimensions are given for both the boxes that are follow:

Compute the volume for box 1.

Thus, the volume of the box 1 has degree 5 polynomial and have only one term in it.

Compute the volume for box 2.

Thus, the volume of the box 2 has degree 5 polynomial and have only two terms in it.

To know more about polynomials, please refer to the link:

link