Step-by-step explanation: Do You Want Me To Find All The Values ?
Answer:
The lesser number of workbooks are 1,000
Step-by-step explanation:
The correct question is
The profit P (in thousands of dollars) for an educational publisher can be modeled by P=-b³+5b²+b where b is the number of workbooks printed (in thousands). Currently, the publisher prints 5000 workbooks and makes a profit of $5000. What lesser number of workbooks could the publisher print and still yield the same profit?
we have
For 
substitute in the equation and solve for b
Remember that the profit and the number of workbooks is in thousands
so
P=5

Using a graphing tool
Solve the cubic function
The solutions are
x=-1
x=1
x=5
therefore
The lesser number of workbooks are 1,000
<u><em>Verify</em></u>
For b=1
-----> is in thousands
so
----> is ok
Answer:



Step-by-step explanation:
The question is unreadable, however the real polynomial is:
The polynomial fraction is:

And the decomposition is:

The solution is as follows:

Substitute the expression for P

Expand the numerator of the polynomial

Take LCM

Cancel out both denominators

Represent f(x) as A and g(x) as B

Open bracket



By comparison:
---- (1)
---- (2)
Make B the subject in (1)

Substitute
in (2)

Multiply through by 2



Collect Like Terms




Recall that:





A = -1 and B = 6
---- (1)
---- (2)
So:




And the decomposition is:

Answer:
2
Step-by-step explanation: