Answer:
U=(x+3) and V=7
Step-by-step explanation:
If -5/2 is a root of that 3rd degree polynomial, then when we do synthetic division on it we will get a remainder of 0, and the resulting numbers from our math will then become the coefficients to a new polynomial, one degree less than what we started with, called the depressed polynomial. Put -5/2 outside the "box" and the coefficients inside: -5/2 (2 7 1 -10). Bring down the
2 and multiply it by -5/2 to get -5. Put that -5 up under the 7 and add to get
2. Multiply that 2 by the -5/2 to get -5. Put that -5 up under the 1 and add to get
-4. Multiply that by -5/2 and get 10. Put that 10 up under the -10 and add to get a remainder of 0. Those bolded numbers now are the coefficients of our new polynomial, one degree less than what we started with. That polynomial is
. Now we need to factor that to find the other 2 roots to our polynomial. If we factor a 2 out we have
,That factors easily to 2(x+2)(x-1). That gives us x+2=0 and x = -2, x-1=0 and x = 1. The 3 solutions or zeros or roots are -5/2, -2, 1. There you go!
As per the problem
The escalator make a 30° angle with the floor .
The escalator have a vertical height of 36 feet.
Now draw the diagram with the given information, the diagram is attached below
From the diagram,
Horizontal length=AB=d
Distance traveled by the person on the escalator stairs=AC=l
In triangle ABC,
Again in triangle ABC, Using Pythagoras Theorem
The horizontal length needed is
The distance a person would travel on the escalator stairs is 72 ft