Narci has 45 red buttons and 60 yellow buttons she wants to use all of the buttons and divide each color equally into boxes what is greatest number of boxes marci can use to divide the buttons

This question is based on greatest common factor.

There are 45 red buttons and 60 yellow buttons

factors of 45 = 3,5,15

factors of 60 = 2,3,4,5,6,12,15

Hence the highest common factor is 15

Narci can use 15 boxes to divide buttons equally.

She can divide 45 red buttons in 15 boxes by putting 3 buttons in each box.

She can divide 60 yellow buttons in 15 boxes by putting 4 buttons in each box.

(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

the one that has a slope of 1/2 and is positive.

step-by-step explanation: 2 buckets 1 trip ; 4 buckets 2 trips and so on.