the profit is a polynomial function :
p(x) = x^4 − x^3 − 24
the average profit per unit of product sold is :
ap(x) = (x^4 − x^3 − 24)/(x+2)
now,
(-2) is an "obvious" zero of p(x)
therefore : p(x) is dividable by (x+2)
and
the long division of p(x) by (x+2) gives :
Answer:
ap(x) = x^3 - 3x^2 + 6x - 12
Keywords:
<em>Quadratic equation, vertex shape, parabola
</em>
For this case we have to rewrite the given quadratic equation, in the form of vertex, for this, we must take into account that a quadratic equation of the form
, can be rewritten in the form of vertex as:
Vertice is the lowest or highest point of the parabola. The vertex is given by:
. So, let:
, to find the equation in the form of vertex, we follow the steps below:
Step 1:
We take the common factor to the first two terms of the equation:

Step 2:
We work square:
We divide the coefficient of the term
by 2 and its result is squared, that is:

So, we have:

Step 3:
We simplify:

Step 4:
We factor:

Thus, 
Answer:
The equation in the form of vertex is:
, and the vertex is 
Answer:
2/5m - 7/5
Step-by-step explanation:
Combine the like terms (-4/5 and -3/5)