Which of the following expressions is this one equivalent to? (3x^3+15x^2+17x+3)/(x+5)
A. x^3-2x+5+7/(x+5)
B. 3x-17+88/(x+5)
C. 3x^2+17-82/(x+5)
D. 3x^2-5x-8-37/(x+5)

Question

Which of the following expressions is this one equivalent to? (3x^3+15x^2+17x+3)/(x+5)
A. x^3-2x+5+7/(x+5)
B. 3x-17+88/(x+5)
C. 3x^2+17-82/(x+5)
D. 3x^2-5x-8-37/(x+5)

alones · Answer

Alright so you know the formula?
$$A/B \implies A= BQ + R$$

As $R$ stands for reminder and $Q$

alones · Answer

**And $Q$ as the quotient..

alones · Answer

$$\frac{ (3x^3+15x^2+17x+3) }{ x+5 = 3x²+17 } $$

So, as you see the reminder should be $ - 82$

alones · Answer

And now,  $$\frac{ (3x^3+15x^2+17x+3= (3x²+17)  }{ (x+5) }$$



So your final answer would be:
$$\frac{ (3x²+17)-82 }{ (x+5) }  $$

alones · Answer

@sharkfinsoup I'm trying to see if this makes sense, and you don't even reply LOL...Does this makes sense? :'3

sharkfinsoup · Answer

Yes it does thank you so much. Sorry I didn't respond, my computer froze for some reason and I had to restart it. I really appreciate thank you @AloneS

alones · Answer

Awh haha wow, I froze for a second, and it went to usual.


I was glad to help<3

sharkfinsoup · Answer

:)