X2 + 7x + k ?

Question

Choose the answer that contains all positive integral values of k for which the trinomial can be factored.

x2 + 7x + k

a. k = {8, 10, 12}

b. k = {6, 8, 10}

c. k = {6, 10, 12}

d. k = {8, 9, 12}

Answer 1

i think it's c

x2 + 7x + 6 = (x+6) (x+1)

x2 + 7x + 10= (x+2) (x+5)

x2 + 7x + 12= (x+3)(x+4)