Step-by-step explanation:
We know that if (h,k) is the center of any circle and whose radius is = r then its equation is :

Given, the equation of circle

By comparing, we will get,
h = -2
k = 3
So, center of the circle is ( -2,3)

Given: The following functions



To Determine: The trigonometry identities given in the functions
Solution
Verify each of the given function

B

C

D

E

Hence, the following are identities

The marked are the trigonometric identities
Answer:
(x+4)(6x^2 - 7)
Step-by-step explanation:
Focus on the first 2 terms first and on the second 2 terms last:
6x^3 + 24x^2 = 6x^2(x+4)
-7x-28 = -7(x+4)
We see that the factor (x+4) is common to both pairs: common to the first 2 terms and common to the last 2 terms.
Thus,
6x³ + 24x² -7x -28 = (x+4)(6x^2 - 7(x+4)
Factoring out x+4, we get (6x^2 - 7), and so 6x³ + 24x² -7x -28 in factored form is (x+4)(6x^2 - 7).