The graph of a sine function is shown. select two points on the midline of the function that are separated by a distance of one period

(0,3) and (π,3)

Step-by-step explanation:

The period of a sine graph is the magnitude of the interval over which the graph completes a full cycle.

From the graph, the sine function completed one full cycle in [0,π]

The period is π.

The midline us y=3.

Two points on the midline that are separated by a distance of π are (0,3) and (π,3)

(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