**Factoring ***x*** ^{2}**+

*bx +*

*c** *

** Step 1:- **Find pairs whose product is

*c*. Find all pairs of integers whose product is the third term of the trinomial,

*c*.

** Step 2:- **Find pairs whose sum is

*b*. Choose the pair whose sum is the coefficient of the middle term,

*b*.

If there are no such integers, the polynomial cannot be factored. A polynomial that cannot be factored with integer coefficients is a prime polynomial.