Completely factor 6a^2 - 8a - 30

Factor out 2

2 (3a^2-4a-15)

hmm

trial and error

nope

fancy I-forgot-the-name way

multiply 3 and - 15 to get - 45

find y and t such that yt=-45 and y+t=-4

tricky

hmm

-9 and 5

split - 4a into - 9a and 5a

2 (3a^2-9a+5a-15)

split and factor

2[ (3a^2-9a) + (5a-15) ]

factor oout common factors

2[3a (a-3) + 5 (a-3) ]

epic reverse distribute, remmber ab+ac=a (b+c) the (a-3) is theh a part

2[ (a-3) (3a+5) ]

something

(2) (a-3) (3a+5)

(2) (3a+5) (a-3) is factored form