SOLUTION: I am having a hard time with Variation, Progression, and Theorems. My question is What is the quotient of b^3+4b^2-3b+126 ------------------ =? b+7 I have tried t

Algebra ->  Algebra  -> Absolute-value -> SOLUTION: I am having a hard time with Variation, Progression, and Theorems. My question is What is the quotient of b^3+4b^2-3b+126 ------------------ =? b+7 I have tried t      Log On

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Question 6607: I am having a hard time with Variation, Progression, and Theorems. My question is What is the quotient of
b^3+4b^2-3b+126
------------------ =?
b+7
I have tried to do this question on my own and I am not having any luck, Can someone help me?
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
%28b%5E3%2B4b%5E2-3b%2B126%29%2F%28b%2B7%29

So, use long division..i shall try to write this down here:

b+7 | b%5E3%2B4b%5E2-3b%2B126

First... how many times does b go into b%5E3? Answer is b%5E2 times. So write b%5E2 over the cube term.
Now, multiply the b%5E2 by both b and 7 and write those answers under, as:

b+7 | b%5E3%2B4b%5E2-3b%2B126
____b%5E3%2B7b%5E2

Now subtract b%5E3%2B7b%5E2 from b%5E3%2B4b%5E2-3b%2B126, to give:

b+7 | b%5E3%2B4b%5E2-3b%2B126
____b%5E3%2B7b%5E2
____________________________
_____-3b%5E2-3b%2B126

Now repeat the process..how many times does b go into -3b%5E2? answer is -3b times...put this on top, then multiply that by both b and 7 and put the answer under. Subtract to leave 18b+126.
Now repeat the process..how many times does b go into 18b? answer is 18 times...put this on top, then multiply that by both b and 7 and put the answer under. Subtract to leave 0. This means that b+7 divides into b%5E3%2B4b%5E2-3b%2B126 exactly, b%5E2+-+3b+%2B+18 times.

jon.