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1668168
 2 years ago
Use long division to find (10x^4+3x^3x+5)/(2x+3).
1668168
 2 years ago
Use long division to find (10x^4+3x^3x+5)/(2x+3).

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zepdrix
 2 years ago
Best ResponseYou've already chosen the best response.1So our goal is to match up the leading terms:dw:1384225571316:dwWhat do we want to multiply 2x by to turn it into 10x^4?

zepdrix
 2 years ago
Best ResponseYou've already chosen the best response.1Yes very good!dw:1384225878362:dwUnderstand what I did there? I multiplied `each` value by 5x^3

1668168
 2 years ago
Best ResponseYou've already chosen the best response.0@zepdrix yes I understand that part but what's the next step?

zepdrix
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1384226367803:dwNext 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.

1668168
 2 years ago
Best ResponseYou've already chosen the best response.0so it would be....12 because the 10x^4 and x^3 are subtracted

zepdrix
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1384226619653:dwOk good! Understand why we bring the x^3 down with it?

zepdrix
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1384226725590:dwThe x^3 is like the `name` of the things that we're subtracting.

zepdrix
 2 years ago
Best ResponseYou've already chosen the best response.1We end up with 3 apples right? Not just 3. That doesn't tell us enough information.

1668168
 2 years ago
Best ResponseYou've already chosen the best response.0alright that makes more since so after 12x^3 ...

zepdrix
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1384227065135:dwWe'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
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1384227185855:dwNow we repeat the process again, we want to match these circled terms.

1668168
 2 years ago
Best ResponseYou've already chosen the best response.014 but what about x in this one?

zepdrix
 2 years ago
Best ResponseYou've already chosen the best response.1to 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
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1384227627979:dwSo what do we get on our next line? :)

1668168
 2 years ago
Best ResponseYou've already chosen the best response.0so then I multiply 6x^2 *2x+3=12x18x^2

zepdrix
 2 years ago
Best ResponseYou've already chosen the best response.112x^318x^2 is what you meant I assume? Ok good, then we subtract!dw:1384228134036:dw

1668168
 2 years ago
Best ResponseYou've already chosen the best response.0sorry i keep forgetting the x^3

zepdrix
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1384228374212:dwOk good!

1668168
 2 years ago
Best ResponseYou've already chosen the best response.0is this the answer 5x36x2+9x14 i finished it

zepdrix
 2 years ago
Best ResponseYou've already chosen the best response.1Oh sorry I ran off for a sec :) I dunno lemme check real quick.

zepdrix
 2 years ago
Best ResponseYou've already chosen the best response.1Ok looks good! Did you end up with any remainder?

1668168
 2 years ago
Best ResponseYou've already chosen the best response.0thanks for all help...you are a lifesaver
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