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

Answer 1

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