SOLUTION: Can you please help me understand step by step how factoring is done? My directions say to factor completely. 3x^2 – 2x – 8 Thank you Patti

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Question 116120: Can you please help me understand step by step how factoring is done?
My directions say to factor completely.
3x^2 – 2x – 8
Thank you
Patti

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the factors of "a" (3) have to combine (multiply and add) with the factors of "c" (-8) to get "b" (-2)

factors can be positive or negative
factors of "a" are 1 & 3 ___ either both positive or both negative
factors of "c" are 1 & 8; 2 & 4 ___ one is positive, the other is negative

3 times -2 is -6; 1 times 4 is 4; -6 plus 4 is -2

(3x+4)(x-2)