Carlos is arranging books on shelves. he has 32 novels and 24 autobiographies. if carlos must place all the books on shelves, what are the possible numbers of shelves carlos will use?

You start of finding the common divisors and that begins with 2 because 2 is the first number (other than 1) that goes into both 24 and 32. Another multiple is 4 because 4x6 = 24 and 4x8=32. Here is the complete list 2,4,8. Hope this helps and have a good night!

(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