How do you “find the greatest common factor and have the remaining ones integer coefficients” in pre-calc?

AJ B: How do you “find the greatest common factor and have the remaining ones integer coefficients” in pre-calc?
My pre-calc packet asks me to “find the greatest common factor and have the remaining ones integer coefficients”.. and I am a bit confused.

Here are some of the questions that tell me to “find the greatest common factor and have the remaining ones integer coefficients”:
1. 1/2x^3 + 2x^2 – 5x
2. 2/3x(x – 3) – 4(x – 3)

If you could explain it to me it would really help, thanks

Answers and Views:

Answer by chasrmck
1) 1/2x(x² + 4x – 10)
2) 2/3(x-3)(x-6)

Answer by anotherhumanmale
The idea is to take out the numerical factors so that what’s left are just integer coefficients:

1. 1/2*(x)(x^2+4x-10) (factored out 1/2*x from each part)

2. factor out 2/3*(x-3): 2/3*(x-3)(x-6)