What is the inter-quartile range of the given data set?
2
3
6

Option 2 is correct. The inter-quartile range of the given data set is 3.

Step-by-step explanation:

The left end of the box in a box plot represents the first quartile and right end of the box represents the third quartile.

From the given box plot is is clear that

Inter-quartile range of the given data set is the difference between third quartile and first quartile.

Therefore the inter-quartile range of the given data set is 3 and option 2 is correct.

5y

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