Question

Factor x3 + x2 + x + 1 by grouping. What is the resulting expression?

(x2)(x + 1)
(x2 + 1)(x)
(x2 + 1)(x + 1)
(x3 + 1)(x + 1)

Answer 1

x^3 + x^2 + x + 1 = x^2(x + 1) + 1(x + 1) = (x^2 + 1)(x + 1).

So the correct choice is (x^2 + 1)(x + 1).