Chapter 4 Quadratic Functions and Factoring - 4.3 Solve x(squared) + bx + c = 0 - 4.3 Exercises - Skill Practice - Page 256: 33

-6,9

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 $-54$ and add to get $-3$. Thus, we find that the solution is: $$(z-9)(z+6)$$ Thus, setting each factor equal to zero, we find that the solutions are: $$-6,9$$