Mrs. morton has a special reward system for her class. when all her students behave well, she rewards them b putting 3 marbles into a marble jar. when the jar has 100 marbles or more, the class has a party, right now, the jar contains 24 marbles. let r represent the number of additional times the class is rewarded. write an inequality to determine how many more times the class needs to be rewarded in order to earn a party

r is greater then or equal to 100-24

(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