Part one: you have been asked to build a scale model of your school out of toothpicks. imagine your school is 30 feet tall. your scale is 1 ft: 1.68 cm. if a toothpick is 6.3 cm tall, how many toothpicks tall will your model be? part two: your mother is out of toothpicks, and suggests you use cotton swabs instead. you measure them, and they are 7.2 cm tall. how many cotton swabs tall will your model be? if necessary, round your answer to the nearest whole number.

(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