A researcher started tracking the number of mice in the lab. Which of the following equations models how many mice
there will be in the lab after 10 months?

1536 rats will be total after 10 months

Step-by-step explanation:

The number is multiplied by 2 each time, so we have to continue multiplying by 2

Month 5: 48 x 2 = 96

Month 6: 96 x 2 = 192

Month 7: 192 x 2 = 384

Month 8: 384 x 2 = 768

Month 9: 768 x 2 = 1536

Month 10: 1536

(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