To fit the dimensions of the various land spaces, Bernard realizes that the length of the pool has to be three times the size of the width plus 3, and the depth has to be 7 less than twice the length.

Determine the polynomial expression to represent the area of land space that the pool will cover.
Using the area and the depth expressions, determine the polynomial expression that is used to represent the volume.
Classify the volume polynomial by degree and number of terms.

Question

To fit the dimensions of the various land spaces, Bernard realizes that the length of the pool has to be three times the size of the width plus 3, and the depth has to be 7 less than twice the length.

Determine the polynomial expression to represent the area of land space that the pool will cover.
Using the area and the depth expressions, determine the polynomial expression that is used to represent the volume.
Classify the volume polynomial by degree and number of terms.