Writing proportional equations Problem The Green Goober, a wildly unpopular superhero, mixes 333 liters of yellow paint with 555 liters of blue paint to make 888 liters of special green paint for his costume. Write an equation that relates yyy, the amount of yellow paint in liters, and bbb, the amount of blue paint in liters, needed to make the Green Goober's special green paint.

The equation that relates the amount of yellow paint, y, and the amount of blue paint,b, in liters .

Step-by-step explanation:

Given that The Green Goober mixes 333 liters of yellow paint with 555 liters of blue paint to make 888 liters of special green paint for his costume.

So,

The amount of yellow paint: the amount of blue paint

If the amount of yellow paint is y and the amount of blue paint is b, then, from the above relation

Hence, the equation that relates the amount of yellow paint, y, and the amount of blue paint,b, in liters .

(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