homework emergency!!!?

Question

i need major help with this homework problem. someone please help.

here it is:

(n+2)!
_____

n!

where ! is a factorial sign and ______ means over or divided by.

Answer 1

dmb has the right answer.

n (squared)+ 3n + 2

Of course, you can give me the best answer anyway-----please (smiling nicely).

Answer 2

It'd be a good guess it's 2... 2 is 2 factorial (if I remember that's what a factorial is (example: how many ways can a line of people be arranged? the answer is the number of people factorial) and not another function). The N!'s cancel each other out, i think.

Answer 3

n! is equal to n x (n-1) x (n-2) x (n-3) .... x 3 x 2 x 1
(n+2)! is equal to (n+2) x (n+1) x n x (n-1) x (n-2) x (n-3) .... x 3 x 2 x 1.

See some factors in common above and below the division line?

(n+2)! is really equal to (n+2)(n+1)x n!

Your problem is equivalent to the following...

(n+2)(n+1)x n!
-------------------
n!

n! on both sides of the division line factor out, leaving you with...
(n+2)(n+1)

Multiply these two together get your answer.

n^2 + 3n + 2
[n^2 means "n squared" or n x n]

Answer 4

(n + 2)! = (n+2)(n+1)(n)(n-1)(n-2) ... (1)
n! = n(n-1)(n-2) ... (1)

When you divide these two, all the factors from n down to 1 cancel. So you're left with
(n + 2)(n + 1)
You can either leave the answer in factored form like that, or you can multiply it out and get
n^2 + 3x + 2

Answer 5

Well the answer is 2, but i dont know about factorial sign or the other part

Answer 6

n and divide by 2

Answer 7

I think it is 2 because the n's and !'s negate each other.

Answer 8

the division sign? or this )------
only the line higher...i dunno