Answer: She needed 144 square feet of carpet.
Step-by-step explanation:
Given : Maria is buying new carpet. Her bedroom is in the shape of a square.
The length of each side is 12 feet.
We know that the area of square = 
So , the area of the bedroom =
[which is an exponential expression]
Simplify it
The area of the bedroom = 
Also, the carpet she needed = Area of the bedroom.
Thus , She needed 144 square feet of carpet.
Answer:
Remainder= 5, and the binomial
is not a factor of the given polynomial.
Step-by-step explanation:
Given polynomial is
, we have to divide this with a binomial [tex}(x-1)[/tex] using remainder theorem.
Remainder theorem says if
is a factor then remiander would be 
Therefore for 

Thus the remainder is 5 and since it is not 0 , so the binomial
is not a factor of the given polynomial.
Given condition is- The bag contains individual pieces of Skittles, M&Ms, Life Savers and Sour Patch Kids.
Let the total number of candies in the bag be = x
Then, Skittles are 
Candies left =
= 
M&Ms are = 
Now remaining candies are= 
Now Life savers are =
Now adding all these 3 candies

=
Now the remaining candies sour patch will be =

Hence, sour patch kids are 