M^3 + 9m =
There is a common factor of m.
= m(m^2 + 9)
That is the complete factorization.
m^2 + 9 is a sum of two squares which is not factorable.
Answer: m(m^2 + 9)
        
                    
             
        
        
        
Part A:
The average rate of change refers to a function's slope. Thus, we are going to need to use the slope formula, which is:

 and and are points on the function are points on the function
You can see that we are given the x-values for our interval, but we are not given the y-values, which means that we will need to find them ourselves. Remember that the y-values of functions refers to the outputs of the function, so to find the y-values simply use your given x-value in the function and observe the result:




Now, let's find the slopes for each of the sections of the function:
<u>Section A</u>

<u>Section B</u>

Part B:
In this case, we can find how many times greater the rate of change in Section B is by dividing the slopes together.

It is 25 times greater. This is because  is an exponential growth function, which grows faster and faster as the x-values get higher and higher. This is unlike a linear function which grows or declines at a constant rate.
 is an exponential growth function, which grows faster and faster as the x-values get higher and higher. This is unlike a linear function which grows or declines at a constant rate.
 
        
             
        
        
        
Answer:
Tre: Tre’s position was on the pitcher’s mound and he threw the ball to 3rd base.
 
Hector: Hector’s position was in right field and he threw the ball to 2nd base.