Respuesta :

Option A gives the correct answer.

Step by step solution is listed below:

[tex]( x^{2} +x+8)(x-5) \\ \\ =x( x^{2} +x+8)-5( x^{2} +x+8) \\ \\ = x^{3}+ x^{2} +8x-5 x^{2} -5x-40 \\ \\ = x^{3}-4 x^{2} +3x-40 [/tex]
We have the following expression:
 (x2 + x + 8) (x - 5)
 Rewriting we have:
 x3 + x2 + 8x + (-5x2 - 5x - 40)
 Adding similar terms:
 x3 - 4x2 + 3x - 40
 Answer:
 
The solution for this case is given by:
 
x3 - 4x2 + 3x - 40