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Use synthetic division to find the expression for the area of the base of a rectangular prism with height x + 4 and volume x3 + 2x2 – 17x – 36.

Respuesta :

The volume of a rectangular prism is this
Volume = Area x Height
Substituting the given expressions
x3 + 2x2 - 17x - 36 = Area x (x + 4)
Area = (x3 + 2x2 - 17x - 36) / (x + 4)
Now, let's use synthetic division
-4 |    1    2    -17   -36
----    __-4___8___36 
         1    -2     -9     0

The expression for the area is
Area = x2 - 2x - 9

Answer:

x^2-2x-9

Step-by-step explanation:

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