Factoring x2+ 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.