Long division?

Question

I have never done long division this big, can anyone help?
_____________________
4m-1 | 12m^3+21m^2-14m+15

Answer 1

First partial division:
Divide 4m into 12m³. It goes 3m² times.
3m²(4m - 1) = 12m³ - 3m².
Subtract: (12m³ + 21m² - 14m + 15) - (12m³ - 3m²) = 24m² - 14m + 15.

Second partial division:
Divide 4m into 24m². It goes 6m times.
6m(4m - 1) = 24m² - 6m.
Subtract: (24m² - 14m + 15) - (24m² - 6m) = -8m + 15.

Third partial division:
Divide 4m into -8m. It goes -2 times.
-2(4m - 1) = -8m + 2.
Subtract: (-8m + 15) - (-8m + 2) = 13.

Your quotient is (3m² + 6m - 2).
Your remainder is 13.

Answer 2

4m-1 | 12mmm +21mm -14m + 15


Because it's 12m^3 you know the first part has to be m^2 and 4 goes into 12 three times.


So try 3m^2


(4m-1)(3m^2) = 12m^3 - 3m^2

+ 12mmm + 21 mm
- 12mmm + 3 mm (remember the signs have to change because of minus)
----------------
24 mm -14m + 15

now 4 goes into 24 6 times and you need mm so multiply by m

Try: 6m

(4m-1)(6m) = 24mm -6m

+24mm - 14m
-24mm + 6 m
------------
- 8 m + 15

now 4 goes in -8 negative two times and you only need 1 m so no need to multiply by an m

try: -2

(4m-1)(-2) = -8m + 2

-8m + 15
+8m - 2
-------------
13


Putting it all together your final answer is

3m^2 + 6m - 2 remainder 13

Answer 3

3m^2 + 6m - 2 (r = 13)
__________________________
4m-1| 12m^3 + 21m^2 - 14m + 15
- (12m^3 - 3m^2 + 0m + 0)
24m^2 - 14m + 15)
-(24m^2 - 6m + 0)
-8m + 15
-(-8m + 2)
13

Answer 4

_______________3m^2 + 6m - 2__
4m - 1 | 12m^3 + 21m^2 - 14m + 15
______-12m^3 + 3m^2 -----> (I changed signs already)
_________0 + 24m^2 - 14m
_____________- 24m^2 + 6m
_________________0 - 8m + 15
_____________________+8m - 2
____________________________13


3m^2 + 6m - 2 + (13 / (4m - 1))

Answer 5

I don't know if I can explain it all right now. I need to know how much you know. email me by clicking on my avatar. what grade are you going into? I'm in 8th but I did this stuff in seventh grade.

Answer 6

Try consulting a mathematics professor.

Answer 7

3m^2+6m-2 remainder 13

can someone confirm my answer? email me if you need how to do it... [e-mail]

Answer 8

Louise's answer is correct.

...........3m²+6m-2
.......... ---------------------------
4m-1|12m³+21m²-14m+15
........12m³-...3m²
......... ..... .24m²-14m
........ ...... .24m²-6m
........ ...............-8m+15
........ ....... .......-8m+2
......... ....... ...... .......13

Answer 9

4m-1 | 12m^3+21m^2-14m+15 | 3m^2 +6m -2
...........12m^3-3m^2
...........-------------------
......................24m^2 - 14m
......................24m^2 -6m
......................------------------
..............................-8m + 15
..............................-8m + 2
..............................---------------
.............................. ..........13

Bluedoggy's way is the smartest since it avoids long caluculation

Answer 10

ooops I must be kidding myself.

I am sorry I don't know the answer. I have been trying but no luck sorry! I must have the wrong answer. give me another chance please