The third box plot is your answer
So you have your polynomial. To factor this out, you need to find the factors of -45 that will add up to 3. These two factors would be -5 and 8. So, you have factored your polynomial! (x-5)(x+8). If you are still unsure, simply use the FOIL method to check and see if you get the same polynomial back. Hope this helps!
Answer:
4.5, -27, 162,-972, 5832
Step-by-step explanation:
The given recursive definition is,
This will form a geometric sequence with first term 4.5 and common ratio r=-6.
When n=2, we have:
When n=3, we get:
When n=4, we get:
When n=5, we get:
Therefore the first five terms are:
4.5, -27, 162,-972, 5832
Why not? Because every math system you've ever worked with has obeyed these properties! You have never dealt with a system where a×b did not in fact equal b×a, for instance, or where (a×b)×c did not equal a×(b×c). Which is why the properties probably seem somewhat pointless to you. Don't worry about their "relevance" for now; just make sure you can keep the properties straight so you can pass the next test. The lesson below explains how I kept track of the properties.
1.) r=-1/3
2.) x=-33/29
3.) x=-4/5 x=2/5
