Chapter 6 - Factoring, Solving Equations, and Problem Solving - 6.3 - Factoring Trinomials of the Form x^2+bx+x - Problem Set 6.3 - Page 255: 1

$(x+4)(x+6)$

The following pairs of numbers give a product of $ 24 :$ \begin{array}{l}\require{cancel} \{ 1,24 \} \text{ } \{ 2,12 \} \text{ } \{ 3,8 \} \text{ } \{ 4,6 \} .\end{array} Of these pairs, the pair $\{ 4,6 \}$ gives a sum of $ 10 .$ Hence, the factored form of the given expression, $ x^2+10x+24 $ is \begin{array}{l}\require{cancel} (x+4)(x+6) .\end{array}