Chapter 4 Quadratic Functions and Factoring - 4.3 Solve x(squared) + bx + c = 0 - 4.3 Exercises - Skill Practice - Page 256: 23

(z+11)(z-11)

Since the coefficient of the squared term is one, we know that the expression must factor to: $$ (z\pm a)(z\pm b)$$ Here, we see that a and b must multiply to get $-121$ and add to get $0$. Thus, we find that the solution is: $$(z+11)(z-11)$$