Question 486603
We have


*[tex \LARGE x^2 + x = 1], and


*[tex \LARGE x^3 + 2x^2 + 2011 = x(x^2 + x) + x^2 + 2011]


*[tex \LARGE = x(1) + x^2 + 2011]


*[tex \LARGE = x^2 + x + 2011 = 2012]


The correct answer is 2012.