Identify the rule for function table

Y = x÷2

Step-by-step explanation:

For this purpose, we have to examine all the x and y values.

Looking at the first x value which is 24, the output is 12 which is half of the input.

Then for second input x=12, the output is y=6, which again is half of the output.

Then for the last value of x, the same rule applies.

So we can conclude that y=x/2 or y=x÷2.

So option C is the right answer..

(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