How to factor a trinomial x^2+11x+19

this trinomial is prime, and cannot be factored.

Step-by-step explanation:

when expanding the equation, you multiply the last term by the first term's coefficient, and then find two factors that multiply to that product, and sum to the middle coefficient.

1 * 19 = 19

there are no factors that will multiply to 19 and sum to 11. thus, this polynomial is prime.