anonymous
  • anonymous
Divide: (2x^5+4x^3-5x^2+3x-2) divison sign (x^2+2x-3)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Do you know how to long divide?
anonymous
  • anonymous
No.
anonymous
  • anonymous
Is that what you are studying? I don't want to show you if that is not what you are doing.

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anonymous
  • anonymous
Yeah it is.. but I am having trouble with it.
anonymous
  • anonymous
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?
anonymous
  • anonymous
Yes.
anonymous
  • anonymous
You put in zero for it.
anonymous
  • anonymous
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.
anonymous
  • anonymous
------------------------------------- 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?
anonymous
  • anonymous
2x^3
anonymous
  • anonymous
Wait no.
anonymous
  • anonymous
2x^4
anonymous
  • anonymous
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
anonymous
  • anonymous
Oh I was right. hAHA
anonymous
  • anonymous
2x^3 ------------------------------------- x^2 + 2x - 3 | 2x^5 + 0x^4 + 4x^3 - 5x^2 + 3x - 2 2x^5 + 4x^4 - 6x^3 ------------------- OK?
anonymous
  • anonymous
Yes...
anonymous
  • anonymous
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.)
anonymous
  • anonymous
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?
anonymous
  • anonymous
umm 2x^2?
anonymous
  • anonymous
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.
anonymous
  • anonymous
6x^3-1x^2
anonymous
  • anonymous
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?
anonymous
  • anonymous
In our last post... you forgot to change the signs before you added.
anonymous
  • anonymous
Sorry.. in YOUR last post.
anonymous
  • anonymous
Hmm I guess.
anonymous
  • anonymous
Do you want me to go back and start from my post before the answer and go slowly?

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