Introductory Algebra for College Students (7th Edition)

Fill the blank with$\quad -7$
With the foil method, with m and n being integers, we find that $(x+m)(x+n)=x^{2}+(m+n)x+ mn,$ so ,the sum of mn is the coefficient of x, and m and n are factors of the constant term. Reversing, when we want to factor $x^{2}+bx+c,$ we search for two integers, m and n such that their sum is b, their product is c. --- Here, we are given $b=-5, c=-14$ , and one of the integers is m=$+2$. The other must be n=$-7$, since $(+2)\cdot(-7)=-14,\quad (+2)+(-7)=-5$ Fill the blank with$\quad -7$