2014 UNM-PNM Math Contest II Problems/Problem 2

Problem

If $f(x) = x^3 + 6x^2 + 12x + 6$ , solve the equation $f(f(f(x))) = 0.$

2014 UNM-PNM Contest II (Problems • Answer Key • Resources)
Preceded by Problem 1	Followed by Problem 3
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10
All UNM-PNM Problems and Solutions