Question

Divide -3x3 - 2x2 - x - 2 by x – 2.

Answer 1

Can someone please help?

Answer 2

Wait, it didn't post right. It's Divide -3x^3 - 2x^2 - x - 2 by x – 2.

Answer 3

I would use long division

Answer 4

I suck at long division.... Can you explain it?

Answer 5

@Evoker Won't synthetic division would be the most neat and easy choice here?

Answer 6

Sure ok there is the setup problem

Answer 7

You could use that, it could be easy, but long division is more generally useful.

Answer 8

Whichever is easiest to understand. Lol

Answer 9

For understanding I like long division, so anyways start with the two front pieces

Answer 10

so -3x^3/x is what?

Answer 11

In otherwords the front term inside the division region divided by the front term of the divisor.

Answer 12

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Kailee1423
Whichever is easiest to understand. Lol
\(\color{#0cbb34}{\text{End of Quote}}\)
The easiest to understand is the synthetic one but the one @Evoker is providing is though a little hard but will help you later on too.

Answer 13

Anyways I have to head out for now , I'll let FaiqRaess take over.

Answer 14

Ok thanks anyways!

Answer 15

@Kailee1423 Which do you prefer, synthetic or long division?

Answer 16

I don't understand either of them so it doesn't matter to me

Answer 17

So I am gonna start with synthetic. Fine by you?

Answer 18

Sure:)

Answer 19

Okay so first thing. Can you convert a factor into root? (Hint (x-2) is a factored form and x=2 is a root)

Answer 20

No, I'm just barely passing my math class. All of it is confusing

Answer 21

Okay so
if something is divisible by a monomial or polynomial, the divisor is considered as a factor.
Like if x²-2x+1 is divisible by (x-1). (x-1) is considered a factor. Clear on that?

Answer 22

Yes

Answer 23

if x-1 is a factor. You can easily find out a root.
The procedure is to equate the factor to 0
(x-1)=0
x-1=0
x=1
Hence x=1 is a root.
Clear? Any confusions so far?

Answer 24

Kinda....

Answer 25

Go on elaborate your confusion.

Answer 26

Wait... I get it

Answer 27

Should we proceed?

Answer 28

Yes

Answer 29

So first we are going to convert our factor into a root.
Can you convert (x-2) into a root form? Hint:-(Just equate it to 0)

Answer 30

(X-2)=0
X=2

Answer 31

Perfect. Now we're going to divide our polynomial with the root.
This is our setup. Clear?

Answer 32

Ok

Answer 33

Btw are you sure the question is correct?

Answer 34

Yes. Why?

Answer 35

Oh then apologies for inconvience. The question can't be solved by synthetic division. We have to apply long division. Apologies for wasting your time. But if you want I can explain the long division..

Answer 36

It's ok! I need to hurry up and get the assignment turned in. Does long division take a while?

Answer 37

Yes a little, how about I provide you an article or something, which would speed the process a little?

Answer 38

That would be great:)

Answer 39

http://www.purplemath.com/modules/polydiv2.htm

Answer 40

Thank you!

Answer 41

No problem