## Introductory Algebra for College Students (7th Edition)

$x^{2}+3x+1$ (sample answer)
If the trinomial $x^{2}+bx+c$ can be factored, it will be in the form $(x+n)(x+m)$, where the product of integers n and m is $c$ their sum is $b.$ "Prime" means it has no factorization using integer coefficients. Let c=1. It can be factored if the sum, b, equals 2 or -2. So, select any other integer for b, say 3: $x^{2}+3x+1$ (sample answer)