Respuesta :

Answer:

2x² + 32x + 22

Step-by-step explanation:

Given parameters:

  Length = (x-1)

  Width  = (x + 3)

   height  = 7

Unknown:

Express the surface area in terms of polynomial = ?

Solution:

The surface area of a rectangular prism is expressed as;

     Surface area = 2(lw + lh + wh )

Insert the parameters:

       Surface area = 2 [(x-1)(x + 3)+ (x - 1)(7) + 7(x+3)]

        Surface area = 2[x²+ 3x -x -3 + 7x - 7 + 7x + 21]

        Surface area = 2(x²+ 3x-x+7x+ 7x - 3 - 7+ 21)

        Surface area = 2(x²+ 16x + 11)

        Surface area = 2x² + 32x + 22

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