Chapter 4 Quadratic Functions and Factoring - 4.3 Solve x(squared) + bx + c = 0 - 4.3 Exercises - Skill Practice - Page 256: 21

$(n+7)^2$

Since the coefficient of the squared term is one, we know that the expression must factor to: $$ (n\pm a)(n\pm b)$$ Here, we see that a and b must multiply to get $49$ and add to get $14$. Thus, we find that the solution is: $$(n+7)^2$$