algebra
posted by Lisa .
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

1. Factor: x^2  2x  3.
C = 3 = 1*(3) = 1*3.
Select the pair whose algebraic sum = 2(1,and3).
(x+1)(x3).
The above method works best when the coefficient of x^2 is 1.
2. Factor: 2x^2 + x  6.
The AC method should be used when the
coefficient of x^2 is not 1:
A*C=2*(6) = 12 = 1*12 = 2*6 = 3*4.
Use the pair of factors whose algebraic
sum = B(1):
2x^2 + (3x+4x)  6.
Arrange the 4 terms to form 2
factorable binomials:
(2x^2+4x) + (3x6)
Factor each binomial:
2x(x+2) + 3(x+2)
(x+2)(2x3).
These 2 methods take all of the guess work out of factoring.