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

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

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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