anonymous
  • anonymous
I really need help solving this! (x^4+7x^2-5x+3) / (x^2+4)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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hartnn
  • hartnn
solve means, do u need to find roots of that equation ? or just simplify?
anonymous
  • anonymous
Just simplify.
myininaya
  • myininaya
So this is what we have: |dw:1349025945871:dw| How many times does x^2 go into x^4?

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myininaya
  • myininaya
Let's try to walk him through so he can get the answer. :)
radar
  • radar
The drawing would be a good tool to walk him through.
anonymous
  • anonymous
x^2 times?
myininaya
  • myininaya
Yes so we have |dw:1349026268486:dw|
anonymous
  • anonymous
|dw:1349026244517:dw|
myininaya
  • myininaya
Now take that number on top (the x^2) and multiply it to your divisor Put the result under the dividend
myininaya
  • myininaya
We are going to subtract that mess Do -(that result when you multiply x^2 and x^2+4)
anonymous
  • anonymous
|dw:1349026328862:dw|
myininaya
  • myininaya
|dw:1349026505221:dw||dw:1349026523782:dw|
myininaya
  • myininaya
Since 0x^3 and -4x^2 aren't like terms I moved the 4x^2 inside the parenthesis |dw:1349026566063:dw|
myininaya
  • myininaya
Do that subtraction first then we will put another number on top of that bar
anonymous
  • anonymous
|dw:1349026754931:dw|
myininaya
  • myininaya
Great! Now x^2 goes into x^3 how many times?
anonymous
  • anonymous
x^1 times
myininaya
  • myininaya
Yep. That goes on top of that bar.
myininaya
  • myininaya
Then you do the same process again
anonymous
  • anonymous
|dw:1349026913325:dw|
myininaya
  • myininaya
Multiply x and (x^2+4) Put the result under x^3+3x^2 Then subtract
anonymous
  • anonymous
|dw:1349027023866:dw|
myininaya
  • myininaya
|dw:1349027169002:dw|
anonymous
  • anonymous
oh its -9x ?
myininaya
  • myininaya
-4x should be in that circle because you have that - outside the parenthesis
myininaya
  • myininaya
|dw:1349027267944:dw|
anonymous
  • anonymous
|dw:1349027349632:dw|
myininaya
  • myininaya
oh yeah we need to bring down that other stuff :) great job @Muffinlover
myininaya
  • myininaya
Ok! We will have to bring down that 3 as well later
myininaya
  • myininaya
So how many times does x^2 go into 3x^2 ?
myininaya
  • myininaya
I will show you what I'm looking at it in your drawing: |dw:1349027587423:dw|
anonymous
  • anonymous
once?
myininaya
  • myininaya
well what is 3x^2/x^2 is another way of saying it? or since the x^2's cancel then what is 3/1?
anonymous
  • anonymous
3
myininaya
  • myininaya
yep! :)
anonymous
  • anonymous
:)
myininaya
  • myininaya
So we put +3 on top of that bar and do what afterwards?
anonymous
  • anonymous
|dw:1349027819214:dw|
myininaya
  • myininaya
don't forget to do 3(4) too
myininaya
  • myininaya
|dw:1349028275377:dw|
anonymous
  • anonymous
|dw:1349028280857:dw|
myininaya
  • myininaya
|dw:1349028491691:dw|
anonymous
  • anonymous
|dw:1349028498601:dw|
myininaya
  • myininaya
omg wait! lol.
myininaya
  • myininaya
You remember this step? |dw:1349028682678:dw|
myininaya
  • myininaya
That is 0x^3 not 1x^3
myininaya
  • myininaya
We made this problem longer. My bad. I didn't catch it earlier.
myininaya
  • myininaya
|dw:1349028741475:dw|
myininaya
  • myininaya
|dw:1349028753197:dw|