Appendix A - Review - A.4 Factoring Polynomials - A.4 Assess Your Understanding - Page A40: 88

the polynomial $-(x^2 -6x -14)$ is prime.

For the polynomial $-(x^2 -6x -14)$ we have to find integers whose product is $-14$ and whose sum is $-6$. But such factors do not exist and hence the polynomial $-(x^2 -6x -14)$ is prime.