Chapter 4 Quadratic Functions and Factoring - 4.3 Solve x(squared) + bx + c = 0 - 4.3 Exercises - Skill Practice - Page 256: 29

-1, -4

Since the coefficient of the squared term is one, we know that the expression must factor to: $$ (c\pm a)(c\pm b)$$ Here, we see that a and b must multiply to get $4$ and add to get $5$. Thus, we find that the solution is: $$(c+1)(c+4)$$ Thus, setting each factor equal to zero, we find that the solutions are: $$-1,-4$$