The snake in Tracy's science classroom grew 4 centimeters in 1/4
of a year. At that rate, how much would it grow in 1 full year?

16 cm

Step-by-step explanation:

We can use ratios to solve

4 cm             x cm

  =

1/4 year         1 year

Cross multiply

4 * 1 =  1/4 * x

Multiply each side by 4

4*4 = 1/4x*4

16 = x

the solution is 12x-6y

(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