Question

A community swimming pool has a deep end and a shallow end. The volume of water in the deep end can be represented by (3x3 + 14x2 + 13x) ft3 and the volume of water in the shallow end can be represented by (6x3 − 115x) ft3. Enter an expression that represents the total volume of water in the pool in ft3. Enter your answer in standard form. The total volume of the water in the pool is

Answer 1

Answer:
`9x^3+14x^2-102x`

Explanation:

For this exercise you need to analize the information provided in the exercise.

You know that the following polynomial represents the volume (in cubic feet) in the deep end:

`3x^3 + 14x^2 + 13x`

And the volume of water in the shallow end is represented with this polynomial:

`6x^3-115x`

Then, the expresion that represents the total volume of water in the pool in cubic feet can be found by adding the polynomials:

`(3x^3 + 14x^2 + 13x)+(6x^3-115x)=9x^3+14x^2-102x`

This polynomial is already in Standard form because it is written from highest degree to lowest degree.