Hence, the area of base is [tex]x^2 - 2x - 9[/tex]
Division in maths is breaking a number into equal parts and finding out how many equal parts can be made.
The volume of a rectangular prism is,
Volume = Area x Height
Substituting the given expressions,
[tex]x^3 + 2x^2 - 17x - 36 = Area x (x + 4)[/tex]
Area = [tex](x^3 + 2x^2 - 17x - 36) / (x + 4)[/tex]
Now, let's use synthetic division,
-4 | 1 2 -17 -36
---- __-4___8___36
1 -2 -9 0
The expression for the area is [tex]x^2 - 2x - 9[/tex]
to learn more about division: https://brainly.com/question/22123957
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