The profit earned by selling a quantity of x + 2 of a product is given by the expression x4 − x3 − 24. What is the average profit per unit of product sold?

Question

igreen · Answer

It wants you to divide:

$\Large\frac{x^4-x^3-24}{x + 2}$

igreen · Answer

Dividing $x$ into $x^4$ and $x^3$ will SUBTRACT the exponent by 1.

Then divide 2 into -24.

igreen · Answer

So what is your final answer? @nmoss

igreen · Answer

What's $2~~\div -24$?

What's $4 - 1$?

And what's $3 - 1$?

@nmoss

anonymous · Answer

Wouldn't it be -24 divided by 2 which would be -12?
4-1 is 3 
and 3-1 is 2

anonymous · Answer

Im so lost..

igreen · Answer

That's correct. So your exponents will be $x^3$ and $x^2$ and the end of your expression will be     '$-12$'.

anonymous · Answer

would it be x3 − 3x2 + 6x − 12?

igreen · Answer

No.. where does $3x^2$ and $6x$ come from? The only terms you have now are $x^3$, $x^2$, and $-12$. Just combine them all!

anonymous · Answer

because that's the only option it gives me that has -12 in it.

igreen · Answer

The answer should be $x^3 - x^2 - 12$.

anonymous · Answer

it doesnt give me that option..