In the next 10 months, colin wants to save 900 for his vacation. he plans to save 75 each of the first 8 months. how much must he save each of the last two months in order to meetc his goal if he saves the same amount each month?

he must save 150 for each of the last two months.

Step-by-step explanation:

In the next 10 months, Colin wants to save 900 for his vacation. He plans to save 75 each of the first 8 months. This means that the total amount that Colin would save in the first 8 months would be

75 × 8 = 600

Let x represent the amount that he must save in each of the last two months in order to meet his goal if he saves the same amount each month. Therefore,

2x + 600 = 900

2x = 900 - 600 = 300

x = 300/2 = 150

(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