BrentGMATPrepNow wrote:
If x and y are positive integers, and x³ – 10x²y – 24xy² = 0, which of the following could be true?
I. x = 0
II. x - 12y = 0
III. x + 2y = 0
A) I only
B) II only
C) I and III only
D) II and III only
E) I, II andIII
This question is proving to be pretty difficult!
Key property: If ABC = 0, then A = 0, B = 0, or C =0
Given: x³ – 10x²y – 24xy² =0
First factor out the x on the left side to get: x(x² – 10xy – 24y²) =0
Now factor the quadratic: x(x - 12y)(x
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