Question

Jim has calculated the area of a rectangle to be x3 + x2 + x + 1. if the width of the rectangle is x + 1, then its length is

Answer 1

x^2 + 1

Explanation:

Since area = width*length, we need to divide x^3 + x^2 +x + 1 by x + 1 using long division. Since x+1 is a factor of the numerator the fraction simplifies to x^2 + 1

Answer 2

(x3 +x2+ x +1) ÷ (x+ 1)
=x3 + x2