You finally made it has arrived! your parents are so proud that they are throwing you a huge party. they have rented a big tent for your graduation party just in case it rains. the inside of the tent (represented by the blue area) is set up for a dance floor for you and friends to dance the night away. the rectangular dance floor is twice as long as it is wide. the tent surrounds the dance floor, leaving some space (7 feet in each direction) for guests to mingle and cool off after dancing. this extra space (represented by the grey area) has an area of 952 square feet. your task is to find the dimensions of the dance floor. be sure to show all work. dimensions outside: top= 2x+14 side=x+14 gray area= 952 ft.^2 dimensions dance floor: top=2x side= x

(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

£56

step-by-step explanation: