Question 36220
3x^2+2x-16

First: Take the first times the third coefficients.
Answer: -48

Second: Ask the question what factors of -48 equals positive 2
Answer: 8, -6

Third: Separate the middle terms
3x^2-6x+8x-16

Fourth: Factor using GCF
3x(x-2)+8(x-2) 
Important: At this point the quantities inside the parentheses must be the same.

Fifth: The quantity inside the parentheses is your first binomial and outside the parentheses is your second but the quantity inside the parentheses must be the same
Final Answer: (3x+8)(x-2)