Find the terminal point p(x, y) on the unit circle determined by the given value of t=4pi/3. enter your answer as an ordered pair. do not convert fractions to decimal form.

Terminal point will be (-, -)

Step-by-step explanation:

Terminal point (x, y) on a circle is defined by P(x, y) = ( r cost, r sin t)

Where t is the angle =

and Radius of the circle = 1 unit [unit circle]

x coordinate = r cost

                     =

                     =

                     = - [angle lies in third quadrant so the value will be negative]

                     = -

y- coordinate = r sint

                      =

                      = -

                      = -

                      = -

Therefore, terminal point will be (-, -)

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0