Question

Divide:

(3x^3+2x^2-x-10) / (x+2)

Answer 1

Quotient is \[3x ^{2} - 4x + 7\]

and remainder is -24

Answer 2

How did you get that though?

Answer 3

Is it correct???

Answer 4

yes

Answer 5

okay I will show the working
It is by the LONG DIVISION METHOD as follows:

3x^2 - 4x + 7
------------------------
x+2 | 3x^3 + 2x^2 - x - 10
-3x^3 - 6x^2
----------------------
-4x^2 - x - 10
+4x^2 +8x
---------------
7x - 10
-7x - 14
----------
- 24


Is that clear enough???

Answer 6

yes thank you

Answer 7

Got a medal for me??

Answer 8

Mathematica confirms that Harkirat is correct.
\[\text{PolynomialQuotient}\left[-10-x+2 x^2+3 x^3,2+x,x\right]=7-4 x+3 x^2 \]
\[\text{PolynomialRemainder}\left[-10-x+2 x^2+3 x^3,2+x,x\right] =-24\]
Congratulations Harkirat. It has been alot years since I've seen that done by hand. Very interesting.