Answer:
Option (d) is correct.
The given polynomial
is a prime polynomial.
Step-by-step explanation:
Given : 
We have to factorize it completely.
Since , factorization is the process of reducing a given polynomial into a lower degree polynomial by taking common factors out into the simplest form.
Consider the given polynomial 
Since the given polynomial do not have any term common in both terms .
So we cannot factorized it further.
So, the given polynomial
is a prime polynomial.
Thus, Option (d) is correct.
Answer:

Step-by-step explanation:
Note that the integral of
is not 
The solution is as follows:
Given

Required
Integrate
Represent the given expression using integral notation

This question can't be solved directly;
We'll make use of exponential rules which states;

By comparing
with
;
we can substitute 5 for a;
Hence, the expression
becomes

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However, the integral of
is 
This is shown below:
Given that 
Applying power rule;
Power rule states that

In this case (
), n = 5;
So,
becomes



My guess is D but dont consider it as answer.
Answer:
The Length , width and height of solid are 4 feet , 3 feet and 7 feet respectively.
Step-by-step explanation:
Let the width of rectangular solid be x
We are given that the length of the container must be one meter longer than the width
So, Length of solid = x+1
We are also given that height must be one meter greater than twice the width
So, Height of solid = 2x+1
So, Volume of solid = 
Volume of solid = 
Volume of solid =
Volume of solid =
We are given that a rectangular solid must have a volume of 84 cubic meters
So, 
On equating
x-3=0
x=3
So, Length of solid = x+1=3+1 = 4 feet
Height of solid = 2x+1 =2(3)+1=7 feet
Width of solid = 3 feet
Hence The Length , width and height of solid are 4 feet , 3 feet and 7 feet respectively.
Answer:
In the middle of the zero. On the left
Step-by-step explanation:
If I'm wrong sorry. I'm only 10.