A box has a width of 12-4x inches. The polynomial function that represents the volume is -12x^3+36x^2

3x² square inches

Step-by-step explanation:

Since we are not told what to find, we can look for the function that represents the area of the box

Given the polynomial function that represents the volume expressed as;

P(x) =  -12x^3+36x^2

P(x) = A(x)* w(x)

Factorize the polynomial

P(x) =  -12x^3+36x^2

P(x) =  -12x²(x-3)

P(x) = 12x²(3-x)

P(x) = 3x²*4(3-x)

P(x) = 3x²*(12-4x)

Comparing with the formula

P(x) = A(x)* w(x)

A(x)= 3x²

Hence the area of the box will be 3x² square inches

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step-by-step explanation: