Answer:

Step-by-step explanation:
Given the polynomial function: 
To examine its end behavior, we create a table of values that we can then examine.

From the table, we see a repeating pattern of positive values of h(x) with h(1)=-1 being an axis of symmetry.
Therefore, as:

Answer:
Step-by-step explanation:
(x⁴+ax²+b) ÷ (x+1) = x³-x²+(a+1)x-(a+1) remainder b+(a+1)
Since x+1 is a factor, b+(a+1) = 0.
(x³-x²+(a+1)x-(a+1)) ÷ (x+2) = x²-3x+(a+7) remainder -3a-15
Since x+2 is a factor, -3a-15 = 0
a = -5
b = 4
x⁴+ax²+b = x⁴ - 5x² + 4 = (x²-4)(x²-1) = (x+2)(x-2)(x+1)(x-1)
Answer:
1. 
2.

Step-by-step explanation:
For case 2 the population grows by 170 per year. Therefore for year t=0 its 2000 and t=1 then the population is 2170 and t=2 population is 2340. We can express the sequence as:

We know the difference is d=170 and n=1,2,3....:
Case two can be define by:


2, you need at least 3 segments for each. A head, body, and tail. So you can only make 2 snakes