it takes a particular machine 6 minutes to manufacture a flag pole, while it takes another machine 9 minutes to manufacture the same flag pole. If both machines start at the same time, after how many minutes will the machines next begin manufacturing a flag pole at the same time again?

18 minutes

Step-by-step explanation:

At the end of the 18th minutes, machine A would have completed 2 flagpoles and machine B will have completed 3 flagpoles. They both start producing another flagpole in the 19th minute

4400

step-by-step explanation:

(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