Answer:
Step-by-step explanation:
To start you need to find the factorials of 8, -14, and 3 + 9i.
The factorials of these numbers are:
8: x - 8 = 0
-14: x + 14 = 0
3 + 9i: x - 3 - 9i = 0 *
3 - 9i: x - 3 + 9i = 0 *
(If you look in the files it shows how I got these numbers)
Next, you need to multiply the factorials together.
(x - 3 - 9i)(x - 3 + 9i) = x^2 - 6x + 90
Take that and multiply by your next factorial:
(x + 14)(x^2 - 6x + 90) = x^3 + 8x^2 + 6x + 1260
Multiply that by your final factorial and you have you final answer!
(x - 8)(x^3 + 8x^2 + 6x + 1260) = x^4 + 58x^2 + 1212x - 10,080
I hoped this helped!
*When you have 3 + 9i or anything along the lines of that then you need to find the inverse of it. You simply you simply change the sign that goes before the i term. Change <em>3 </em><em>+</em><em> 9i</em> to <em>3 </em><em>- </em><em>9i </em>
Answer:
C) 2,6,24,120,720
Step-by-step explanation:
Here the n-th term An =
A1 is the first term
A1 = (1 + 2)!/(1 + 2)
= 3!/3
A1 = 2
A2 is the second term
A2 = (2 +2)!/(2 +2)
= 4!/4
A2 = (1*2*3*4) /4
A2 = 6
A3 is the third term
A3 = (3 + 2)!/(3 +2)
A3 = 5!/5
A3 = 24
A4 is the fourth term
A4 = (4 + 2)!/(4 + 2)
A4 = 6!/6
A4 = 120
A5 is the fifth term
A5 = (5 + 2)!/(5 +2)
A5 = 7!/7
A5 = 720
Answer: C) 2,6,24,120,720
Thank you.
