SOLUTION: Hello, Could you please help me solve this? It looks so complicated. Thanks!! (30b^3+13b^2+32b+41)divided by (6b+5). Huge final exam due soon. Appreciate your help!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hello, Could you please help me solve this? It looks so complicated. Thanks!! (30b^3+13b^2+32b+41)divided by (6b+5). Huge final exam due soon. Appreciate your help!      Log On


   

Question 467576: Hello, Could you please help me solve this? It looks so complicated. Thanks!!
(30b^3+13b^2+32b+41)divided by (6b+5). Huge final exam due soon. Appreciate your help!
Found 2 solutions by Gogonati, ewatrrr:
Answer by Gogonati(855) About Me  (Show Source):
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Using the Divison Method of Your choosing:

%2830b%5E3%2B13b%5E2%2B32b%2B41%29%2F%286b%2B5%29 is

 5b^2 - 2b + 7     R = 6



          5b^2 + (-2b) +   7    Remainder = 6

        __________________________

6b + 5 | 30b^3 +  13b^2 +  32b + 41

      - (30b^3 + 25b^2)

       ---------------

                -12b^2 +   32b

             - (-12b^2 + (-10b))

                --------------

                          42b + 41

                      -  (42b + 35)

                          --------

                                 6