Asked by Larry
Which of the following is divisible by 6 when n is any integer?
A. (2n+3)(3n+2)
B. n(n+1)(n+2)
C. (2n+3)(3n-2)
D. n(n+2)(3n+6)
A. (2n+3)(3n+2)
B. n(n+1)(n+2)
C. (2n+3)(3n-2)
D. n(n+2)(3n+6)
Answers
Answered by
Steve
just expand each product, and see whether all the terms are divisible by 6.
For example,
(2n+3)(3n+2) = 6n^2+13n+6
You can see that 13n is not necessarily divisible by 6.
If you expand the others, you will see that one of them has all its terms multiples of 6.
For example,
(2n+3)(3n+2) = 6n^2+13n+6
You can see that 13n is not necessarily divisible by 6.
If you expand the others, you will see that one of them has all its terms multiples of 6.