Jim has calculated the area of a rectangle to be x^3 + x^2 + x + 1. If the width of the rectangle is x + 1, then its length is

Question

Jim has calculated the area of a rectangle to be x^3 + x^2 + x + 1. If the width of the rectangle is x + 1, then its length is
A) x^2 + 1
B) x^2 + x + 1
C) x^3 + x^2
D) x^3 + x^2 + x

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    2021-11-15T13:54:02+00:00

    A = x^3 + x^2 + x + 1
    A = x^2(x +1) + (x+1)
    A = (X + 1)(x^2 + 1)

    W =  x +1
    so L = x^2 + 1 because A = L*W

    answer
    A) x^2 + 1 

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