Barbara claims that her horse can do simple addition problems. she showed her horse 8 different cards with simple addition problems, and the horse was able to tap his foot to indicate whether the answer was correct or incorrect. the horse correctly identified all 8 cards. eric didn't believe barbara's horse could do addition, so he set up a trial to test whether the horse was just guessing. he flipped 8 coins to see how many would land tails up. he did this 53 times, and the results are shown in the dot plot below:

Yes, the chances of getting 8 correct by guessing are very low

(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