Question

Divide:
(2x^5+4x^3-5x^2+3x-2) divison sign (x^2+2x-3)

Answer 1

Do you know how to long divide?

Answer 2

No.

Answer 3

Is that what you are studying? I don't want to show you if that is not what you are doing.

Answer 4

Yeah it is.. but I am having trouble with it.

Answer 5

OK... first of all look at the first polynomial... look at their exponents. you see.
x^5 then x^3 then x^2 then x then -2

Do you see that x^4 is missing?

Answer 6

Yes.

Answer 7

You put in zero for it.

Answer 8

OK we will have to put in 0 of those because that is how this works.

Also... in the x^2 + 2x - 3 nothing is missing because we have x^2 and 2x

OK.. here we go.

Answer 9

-------------------------------------
x^2 + 2x - 3 | 2x^5 + 0x^4 + 4x^3 - 5x^2 + 3x - 2


what do we need to multiply x^2 by to get 2x^5?

Answer 10

2x^3

Answer 11

Wait no.

Answer 12

2x^4

Answer 13

Good...
2x^3
-------------------------------------
x^2 + 2x - 3 | 2x^5 + 0x^4 + 4x^3 - 5x^2 + 3x - 2

as soon as you enter a number up top you multiply it by everything on the left .. you distribute

Answer 14

Oh I was right. hAHA

Answer 15

2x^3
-------------------------------------
x^2 + 2x - 3 | 2x^5 + 0x^4 + 4x^3 - 5x^2 + 3x - 2
2x^5 + 4x^4 - 6x^3
-------------------

OK?

Answer 16

Yes...

Answer 17

Once you multiply... (distribute) you draw a line and then change the signs of every term on the bottom and then add the terms and then bring down the next term.

2x^3
-------------------------------------
x^2 + 2x - 3 | 2x^5 + 0x^4 + 4x^3 - 5x^2 + 3x - 2
- 2x^5 - 4x^4 + 6x^3
-------------------
-4x^4 + 10x^3 - 5x^2

OK? and then we do the process again (notice that I changed every term on the polynomial before I added.)

Answer 18

2x^3
-------------------------------------
x^2 + 2x - 3 | 2x^5 + 0x^4 + 4x^3 - 5x^2 + 3x - 2
- 2x^5 - 4x^4 + 6x^3
-------------------
-4x^4 + 10x^3 - 5x^2

What do you need to multiply x^2 by to get -4x^4?

Answer 19

umm 2x^2?

Answer 20

2x^3 - 2x^2
-------------------------------------
x^2 + 2x - 3 | 2x^5 + 0x^4 + 4x^3 - 5x^2 + 3x - 2
- 2x^5 - 4x^4 + 6x^3
-------------------
-4x^4 + 10x^3 - 5x^2
-4x^4 - 4x^3 + 6x^2
--------------------

No.. -2x^2 you need the - sign. So I multiplied, drew the line, now change every sign on the bottom, add and bring down the next term.

Answer 21

6x^3-1x^2

Answer 22

2x^3 - 2x^2 + 14x - 29 R. 103x - 89
-------------------------------------
x^2 + 2x - 3 | 2x^5 + 0x^4 + 4x^3 - 5x^2 + 3x - 2
- 2x^5 - 4x^4 + 6x^3
-------------------
-4x^4 + 10x^3 - 5x^2
+4x^4 + 4x^3 - 6x^2
--------------------
14x^3 - x^2 + 3x
-14x^3 - 28x^2 + 42x
------------------
-29x^2 + 45x - 2
+29x^2 + 58x - 87
------------------
103x - 89


Now x^2 times what is 14x^3 answer + 14x I put that on top, multiplied, drew the line, changed the signs, added, brought down the next term.

Now x^2 times what is -29x^2 answer -29 I put that on top, multiplied, drew the line, changed the signs, added, brought down the next term

Then what is leftover is the remainder.

Do you understand?

Answer 23

In our last post... you forgot to change the signs before you added.

Answer 24

Sorry.. in YOUR last post.

Answer 25

Hmm I guess.

Answer 26

Do you want me to go back and start from my post before the answer and go slowly?