Chapter 4 Quadratic Functions and Factoring - 4.3 Solve x(squared) + bx + c = 0 - 4.3 Exercises - Skill Practice - Page 256: 20

$(c+14)^2$

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 $196$ and add to get $28$. Thus, we find that the solution is: $$(c+14)^2$$