1. divide 6x^4 + 2x^3 – 6x^2 – 14x – 1 by 3x + 1 by using synthetic division or long division. show all
your work. then explain if 3x + 1 is a factor of the dividend.
is 3x + 1 a factor? why or why not?

                  2x^3 - 2x - 4

3x + 1        6x^4 + 2x^3 - 6x^2 - 14x - 1
                  6x^4 + 2x^3
                
                                       -6x^2 - 14x - 1
                                       -6x^2 - 2x
     
                                                 -12x - 1
                                                 -12x - 4
 
                                                           3

3x + 1 is not a factor of the dividend because, dividing the dividend with 3x + 1 gives a remainder.

46.6°

Step-by-step explanation:

A slide at a children's park is 74 inches tall in the horizontal distance The slide covers is 70 inches what is the angle measures created by the slide and the ground

We solve the above question using Trigonometric function of Cosine.

tan x = Opposite/Adjacent

x = The angle

Hypotenuse = Slide covers = 70 inches

Adjacent = 74 inches

tan x = 74/70

x = arc tan (74/70)

x = 46.591140271°

Approximately = 46.6°