Alan has a jar completely filled with soup. The jar is in the shape of a cylinder with a radius of 12 cm and a height of 30 cm. He wants to serve the soup in hemispherical bowls of radius 6 cm to his friends. How many servings of this bowl size will Alan be able to pour from this jar filled with soup?

(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

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step-by-step explanation:

answer for #1 is c

answer for #2 is d

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12

step-by-step explanation:

12 + 5 = 17

12x2=24

24-7=17