The number of cars sold per month can be modeled by f(x) = 0.04x^3 + 0.2x^2 + 0.5x + 60, where x represents the number of months since March. Let g(x) = f(x) + 30. Which of the following gives the rule for g and the correct explanation of the meaning if the transformation in terms of monthly car sales?

0.04x^3+0.2x^2+0.5x+90 vertical shift 30 units up, increase of 30 units per month

Step-by-step explanation:

You don't need an explanation just take the answer.

(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