Chapter 6 - Section 6.5 - Integrated Review - Choosing a Factoring Strategy - Page 451: 61

not factorable

$x^2-14x-48$ The pairs of numbers whose product is $-48$ are as follows: $-1, 48$ $-2, 24$ $-3, 16$ $-4, 12$ $-6, 8$ $-8, 6$ $-12, 4$ $-16, 3$ $-24, 2$ $-48, 1$ $48-1=47$ $24-2=22$ $16-3=13$ $12-4=8$ $8-6=2$ $6-8=-2$ $4-12=-8$ $3-16=-13$ $2-24=-22$ $1-48=-47$ No pair of numbers had a sum of -14, so we are at the factored form of the polynomial.