anonymous
  • anonymous
Use long division to find (10x^4+3x^3-x+5)/(2x+3).
Meta-math
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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zepdrix
  • zepdrix
|dw:1384225388681:dw|
zepdrix
  • zepdrix
So our goal is to match up the leading terms:|dw:1384225571316:dw|What do we want to multiply 2x by to turn it into 10x^4?
anonymous
  • anonymous
@zepdrix so 2x*5x^3

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zepdrix
  • zepdrix
Yes very good!|dw:1384225878362:dw|Understand what I did there? I multiplied `each` value by 5x^3
anonymous
  • anonymous
@zepdrix yes I understand that part but what's the next step?
zepdrix
  • zepdrix
|dw:1384226367803:dw|Next we substract. You can either put a negative sign and brackets as I've done here, Or you can switch the sign of each term if that makes more sense to you. Just don't forget that the brackets let's us know that the subtraction is being distributed to each term.
anonymous
  • anonymous
so it would be....-12 because the 10x^4 and x^3 are subtracted
zepdrix
  • zepdrix
|dw:1384226619653:dw|Ok good! Understand why we bring the x^3 down with it?
anonymous
  • anonymous
no not really
zepdrix
  • zepdrix
|dw:1384226725590:dw|The x^3 is like the `name` of the things that we're subtracting.
zepdrix
  • zepdrix
We end up with 3 apples right? Not just 3. That doesn't tell us enough information.
anonymous
  • anonymous
alright that makes more since so after -12x^3 ...
zepdrix
  • zepdrix
|dw:1384227065135:dw|We'll bring down the next term. Notice that I added a 0x^2 to the problem? We `can not` leave out a power of x. See how our powers jump from x^3 down to x? We have to include the x^2 term so I wrote a 0x^2 as a placeholder.
zepdrix
  • zepdrix
|dw:1384227185855:dw|Now we repeat the process again, we want to match these circled terms.
anonymous
  • anonymous
-14 but what about x in this one?
zepdrix
  • zepdrix
to get from 2 to -12 I guess we would need to multiply by -6 yes? And to get from x to x^3 we need to multiply by x^2
zepdrix
  • zepdrix
|dw:1384227627979:dw|So what do we get on our next line? :)
anonymous
  • anonymous
so then I multiply -6x^2 *2x+3=-12x-18x^2
zepdrix
  • zepdrix
-12x^3-18x^2 is what you meant I assume? Ok good, then we subtract!|dw:1384228134036:dw|
anonymous
  • anonymous
sorry i keep forgetting the x^3
anonymous
  • anonymous
so 18^2
zepdrix
  • zepdrix
|dw:1384228374212:dw|Ok good!
anonymous
  • anonymous
is this the answer 5x3-6x2+9x-14 i finished it
zepdrix
  • zepdrix
Oh sorry I ran off for a sec :) I dunno lemme check real quick.
zepdrix
  • zepdrix
Ok looks good! Did you end up with any remainder?
anonymous
  • anonymous
yeah of 47
zepdrix
  • zepdrix
Yay good job! \c:/
anonymous
  • anonymous
thanks for all help...you are a lifesaver

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