Question
Asked Feb 4, 2019
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Find a polynomial that represents the amount of surface on the front face of the door shown below that needs to be stained. Then factor the polynomial

21
8x
4x + 4
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21 8x 4x + 4

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Expert Answer

Step 1

Length of the entire door = 8x

Width of the entire door =  4x+4

Area of the entire door = length * width

                                                     = (8x)*(4x+4)

We need to apply the distributive property

a*(b+c) = a*b+a*c

So, Area of the entire door is shown on the board

 

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Step 2

Length of the cut out portion of the door = 2x

Width of the cut out portion of the door = x

Area of the cut out portion of the door = length * width

                                                                                       = (2x)*(x)

                                                                                       = 2x²

Step 3

Area of the surface on the front face of the door that needs to be stained is calculated as shown on the board

                                                                    &n...

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Algebra

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