Quantity A
the largest integer that must divide by n^3-n

Quantity B
the largest integer that must divide n^3- 3n^2-+2n

Resource target test prep.

My question is I tried to apply choosing #s strategy by choosing zero, answer is C and 10 answer is A, So answer is D. BUT the right answer is C. I asked one of TTP tutors and he told me that choosing #s strategy doesn’t work here.

let’s choose 0
Quantity A: 0
Quantity B: 0
therefore the larget integer that will divide both the quantities is \infty answer choice C

let’s choose 1
Quantity A: 1(1 -1)(1+1) = 0
Quantity B: 1(1 - 2)(1 - 1) = 0
therefore the larget integer that will divide both the quantities is \infty answer choice C

let’s choose -1
Quantity A: -1(-1 -1)(-1+1) = 0
Quantity B: -1(-1 - 2)(-1 - 1) = -6
therefore the larget integer that will divide quantity A is \infty and quantity B is 6 answer choice A

Can you make sure that you’re copying the question exactly as written? The original question was hard for me to parse. Can you check the source again and make sure it’s copied precisely the same?

but if the quantity A is 24 and quantity B is 6 then the max integer that can divide quantity A is 24 and quantity B is 6 right ? because the question doesn’t talk about the max integer that can divide both the numbers simultaneously.