For this case we have the following polynomial:

We make the following change of variables:

Rewriting we have

Factoring the second order polynomial we have:

Then, returning the change we have:

Finally, we factor the expression in the parentheses of the second term:

Answer:
the completely factored form is:

For this case we must resolve the following inequality:

Adding 7 to both sides of the inequality:

Different signs are subtracted and the major sign is placed.

Thus, the solution is given by all the values of "x" less than -5.
The solution set is: (-∞, - 5)
Answer:

See attached image
Answer:

Step-by-step explanation:
Given : 
Solution:



Thus , 
Thus the solution is irrational since square root 7 does not have a perfect square and equal to 6+2square root of 14
Answer:
The circumference of the circle is 52π
Step-by-step explanation:
To solve this exercise we first have to calculate the radius of the circle, for this we will use the formula of area of a circle and we will clear the radius
a = area = 676π
r = radius
a = π * r²
we clear r
r = √(a/π)
now we replace the known values
r = √(676π/π)
r = √(676)
r = 26
now we use the formula to calculate the circumference of a circle
c = π * 2r
c = π * 2 * 26
c = 52π
The circumference of the circle is 52π