The standard form polynomial representing the volume of this shipping container is determined as: 24x^5 + 78x^4 - 147x^3 - 624x^2 - 360x.
What is a Standard Form Polynomial?
A standard form polynomial is a polynomial expression written whereby the term with the highest degree or power on a variable is written first in the expression, followed by the least, then the constant of the polynomial comes last.
What is the Volume of a Rectangular Prism?
The Volume of a rectangular prism = (length)(width)(height).
The shipping container is a rectangular prism with the following dimensions:
Length of container = 4x² + 3x
Width of container = x² - 8
Height = 6x + 15
Plug in the values
Volume of container = (4x² + 3x)(x² - 8 )(6x + 15)
Expand
Volume of container = 24x^5 + 78x^4 - 147x^3 - 624x^2 - 360x
Thus, using the formula for the volume of a rectangular prism, the standard form polynomial representing the volume of this shipping container is determined as: 24x^5 + 78x^4 - 147x^3 - 624x^2 - 360x.
Learn more about the volume of rectangular prism on:
https://brainly.com/question/12917973
#SPJ1
