Chapter 8 - Polynomials and Factoring - 8-5 Factoring X(squared) + bx + c - Practice and Problem-Solving Exercises - Page 503: 29

$(n-5)(n+2)$

Factor and check your answer: $n^{2}-3n-10$ rewrite: $n^{2}-5n+2n-10$ Take out (n-5) from the first two and last two term: $n(n-5)+2(n-5)$ Rewrite: $(n-5)(n+2)$ Check answer: $(n-5)(n+2)$ use foil $(n\times n)+(n\times2)+(-5\times n)+(-5\times2)$ simplify: $n^{2}+2n-5n-10$ simplify: $n^{2}-3n-10$