SOLUTION: Divide (30b^3 + 8b^2 + 39b +30) divided by (5b + 3) thank you for your help.

Algebra ->  Expressions-with-variables -> SOLUTION: Divide (30b^3 + 8b^2 + 39b +30) divided by (5b + 3) thank you for your help.      Log On


   

Question 322963: Divide
(30b^3 + 8b^2 + 39b +30) divided by (5b + 3)
thank you for your help.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

First factor : highlight%286b%5E2%29
6b%5E2%285b%2B3%29=30b%5E3%2B18b%5E2
Subtract this product from the original polynomial to get the remainder,
%2830b%5E3+%2B+8b%5E2+%2B+39b+%2B30%29-%2830b%5E3%2B18b%5E2%29=-10b%5E2%2B39b%2B30
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Next factor : highlight%28-2b%29
-2b%285b%2B3%29=+-10b%5E2-6b
Subtract this product from the remainder to get the new remainder,
%28-10b%5E2%2B39b%2B30%29-%2810b%5E2-6b%29=45b%2B30
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Next factor : highlight%289%29
9%285b%2B3%29=45b%2B27
Subtract this product from the remainder to get the new remainder,
%2845b%2B30%29-%2845b%2B27%29=highlight_green%283%29
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No further division is possible, gather the terms and the final remainder,