My statistics book says there are 8 degrees of freedom for this data set. i don't understand how they got that number. # of books education level 68 11 345 15 276 16 756 12 43 6 546 14 58 6 187 14 286 9 93 8 376 11 623 18 876 12 28 4 289 15

It's a bit unclear with the table this way, but I count fifteen points, fifteen lines of the table, each a pair of numbers.

That's 15 degrees of freedom in the data.   When modeling, each parameter in the model uses up one degree of freedom, so you'd use a smaller number of degrees of freedom when calculating t statistics, etc.

(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

probably .5

i can on others if necessary.