We are given two binomials: x+4 , x^2-9.
x+4 can't be factored. Therefore, it is a prime.
Let us work on x^2-9.
9 could be written as 3^2.
Therefore, x^2-9 = x^2 - 3^2.
Now, we can apply difference of the squares formula to factor it.
We know a^2 -b^2 = (a-b) (a+b).
Therefore, x^2 - 3^2 can be factored as (x-3) (x+3).
So, x^2-9 is not a prime binomial because it can be factored as (x-3) (x+3).
Solution:
we have been asked to find
Which length is greater 1/2 meter or 240 centimeters.
To compare the two given lengths, we will have to make both the length in same unit system.
Here 1/2 meter can be written as 50 centimeter , because 1 meter =100cm.
Now its very clear that 240 centimeters is more than 50 centimeters.
Hence we can say 240 centimeters is greater than 1/2 meter .
The equation for a sequence is
an=a1+(n-1)d
Replace the variable with what you were given you get
37=-13+(n-1)5
Simplify
37=-13+5n-5
Combine like terms
37=5n-18
Reverse operations
55=5n
Simplify
n=11
