Please Explain how to factor the following trinomials forms: x2 + bx + c and ax2 + bx + c in words.

Answer 1

for x^2+bx+c you are looking for factors
(x+h)(x+k) = x^2 + (h+k)x + hk
So, you want to find two numbers h and k such that
h+k = b
hk = c

Same thing for the 2nd one, except that now you have to contend with factors of a as well.