The expressions given in the table can all be simplified. When simplified, three of the expressions in Column A are equivalent to three of the expressions in Column B. Column A
Column B
I.
2x + 13-7x
V.
13 + 7x + 2x
II. 7x-17 + 4x
VI.
17-4x - 7
III. 7x +13 + 2x
VII. 13-7x + 2x
VIII. 4x + 7x - 17
IV. 4x - 7+17
Which pair of expressions is not equivalent?
land VII
ll and VIII
Ill and V
IV and VI

Step-by-step explanation:

after simplifying they look like

I) -5x + 13

II) 11x - 17

III) 9x + 13

IV) 4x + 10

V) 9x + 13

VI) -4x + 10

VII) -5x + 13

VIII) 11x - 17

so, clearly, IV and VI are not the same (equivalent).

(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