Synthetic Division Help!?

Question

First of all wth issss synthetic division.
Second of all...help please
The problem is: x^3 - 2x + 12 / x + 3
I have no idea what it even is???
& PLEASE don't just give me a friggin tutoring or tutorial
site. I need help with THIS SPECIFIC problem not an example.
Pleeease & Thankkkks.

Answer 1

x + 3 = x - (-3)
-3|1____0___-2___12
_|____- 3____9___-21
_|1___- 3____7___-9

x² - 3x + 7 with remainder - 9 / (x + 3)

If it had been 21 instead of 12 there would be no remainder.
Did you mean 21?

Answer 2

I think I remember how to do this.....

Take the negative of the 3 in x+3....... Then just take the numbers of the equation, but make sure you are not skipping any variables. Like you are missing the term 0x^2.....

Therefore take -3 / 1 0 -2 12

Drop the first term (1).
Multiply 1 and -3 = -3
Write the -3 under the 0. Add the 0 and the -3= -3
Multiply -3 and -3= 9 Write the 9 under the -2. Add -2 and 9=7.
Multiply 7 and -3=-21. Write the -21 under the 12. Add 12 and -21=-9.

Now take all the numbers from right to left and reassing them as residual, constant, x, x^2....
Result should be 1x^2-3x+7+ (-9/x+3)

Answer 3

i'm doing precalc right now and am doing synthetic division. it's hard to help over the computer... but i'll do my best. i dont understand what your problem is... 12/x? anyways...

(1) you have to find all the "zeros".
what you would do to find the zeros is: find multiples of the last number in the problem which is in this case 3. and find multiples of the first number in the problem which seems like 1.
you would then have something that looks like: +-1, +-3 / +-1
so basically, multiples of last divided by multiples of first.

(2) if you can use your calculator, enter the problem in the Y=. then second tblset and make it so that it's ask / auto or something. then go second table and enter in -1, 1, -3, 3, and see which one comes out as 0 for y.

(3) after you figure out what is a zero for that number you would then do synthetic division which looks like:
EXAMPLE::::

say your zero is 2

you would put 2 into the _| synthetic division sign. then you would line up the rest of the division:
if your problem is x^3 - 2x^2 + 12x + 3.

2_| 1 -2 12 3

next you would drop the 1:

2_| 1 -2 12 3

____________
1

you would do the numbers under the line multiply by the synthetic divider which is 2.

so 1*2 = 2. you would then put the two under the -2

2_| 1 -2 12 3

_____ 2_____
1

next it would be -2 + 2 = ?

your answer would go under that column:

2_| 1 -2 12 3

______2_________
1 0

then you would continue the pattern and multiply 2 by 0 and adding that number to 12.



that's about it! good luck and remember that my example, was a made up example, not the answer to your homework problem!