Factoring ax^2+bx+c

^ followed by a number represents an exponent

A-C method for Factoring:
1) Arrange in descending order
2) Multiply "a" and "c" and find factors that add to the middle term "b"
3) Rewrite middle term as 2 terms and group

Review:

Factor-
x^2+11x+30

(x+5) (x+6)

30
1--30
2--15
-3--10
5--6

ex.
2x^2+13x+15

2x^2+3x+10x+15
x(2x+3)+5(2x+3)
= (2x+3)(x+5)
Use F.O.I.L. to check answer

30
1---30
2---15
3---10
5---6


ex2.
6a^2+1a-12
6a^2-8a+9a-12
2a(3a-4)+3(3a-4)
= (a+2)(3a+2)

-72
1--72
2--36
3--24
4--18
6--12
-8--9


ex3.
3a^2+8a+4
3a^2+2a+6a+4
a(3a+2)+2(3a+2)
= (a+2)(3a+2)

12
1--12
2--6
3--4