1. Each term in this polynomial has a common factor of
:

2. Not sure what the "vertical method" is, but I would guess it refers to some way of visualizing the distributive property.



3. You can use the same approach as in (2), or recall that
:


4. Recall that a difference of squares can be factored as
. So


Alright so lets start with an arbitrary amount of students. Just to help us visualize the problem.
Say, 100 students for the first year when it was founded?
So far,
1996 - 100 students
From 96' to 97', it doubles. So:
1996 - 100 students
1997 - 200 students
From 97' to 98', it doubles AGAIN.
1996 - 100 students
1997 - 200 students
1998 - 400 students
So, what the percentage increase from 100, to 400?
Well, 100 x 4 gives us 400, so it's a 400 percent increase.
(a,1)(a,2)(a,3)(a,4)(b,1)(b,2)(b,3)(b,4)
Answer:
1.81 inches
Step-by-step explanation:
Given that,
The circumference of the largest orange in a bag is
and that of smallest orange is
.
Difference = largest orange - smallest orange
= 
So, difference of the circumferences of the smallest orange and the largest orange is 1.81 inches