Explain how to factor the following trinomials forms: x2 + bx + c and ax2 + bx + c. Is there more than one way to factor this? Show your answer using both words and mathematical notation

Answer 1

Salman Khan does his usual excellent work here

http://www.youtube.com/watch?v=nOZTe8jU2g4
for x^2 + bx +c , and
http://www.khanacademy.org/math/algebra/polynomials/v/factoring-trinomials-with-a-non-1-leading-coefficient-by-grouping
for ax^2 + bx + c