Use the graphing calculator tool to plot the residual points.

(1, 0.86), (2, –0.25), (3, –1.66), (4, –2.34), (5, –4.1)

does the residual plot show that the line of best fit is appropriate for the data?

yes, the points have no pattern.
yes, the points are evenly distributed about the x-axis.
no, the points are in a linear pattern.
no, the points are in a curved pattern.

No, the points are in a linear pattern.

Step-by-step explanation:

Plot of the residual points is shown in the figure attached.

When the plot of the residual points shows a pattern, the correlation is not appropriate. On the other hand, if the points in the plot are randomly dispersed,  the correlation is appropriate.

for the first question it would be the second answer for the second question it would be the third answer and for the third question it would be the first answer

step-by-step explanation:

(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