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1668168

  • one year ago

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

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  1. zepdrix
    • one year ago
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    |dw:1384225388681:dw|

  2. zepdrix
    • one year ago
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    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?

  3. 1668168
    • one year ago
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    @zepdrix so 2x*5x^3

  4. zepdrix
    • one year ago
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    Yes very good!|dw:1384225878362:dw|Understand what I did there? I multiplied `each` value by 5x^3

  5. 1668168
    • one year ago
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    @zepdrix yes I understand that part but what's the next step?

  6. zepdrix
    • one year ago
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    |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.

  7. 1668168
    • one year ago
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    so it would be....-12 because the 10x^4 and x^3 are subtracted

  8. zepdrix
    • one year ago
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    |dw:1384226619653:dw|Ok good! Understand why we bring the x^3 down with it?

  9. 1668168
    • one year ago
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    no not really

  10. zepdrix
    • one year ago
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    |dw:1384226725590:dw|The x^3 is like the `name` of the things that we're subtracting.

  11. zepdrix
    • one year ago
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    We end up with 3 apples right? Not just 3. That doesn't tell us enough information.

  12. 1668168
    • one year ago
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    alright that makes more since so after -12x^3 ...

  13. zepdrix
    • one year ago
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    |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.

  14. zepdrix
    • one year ago
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    |dw:1384227185855:dw|Now we repeat the process again, we want to match these circled terms.

  15. 1668168
    • one year ago
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    -14 but what about x in this one?

  16. zepdrix
    • one year ago
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    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

  17. zepdrix
    • one year ago
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    |dw:1384227627979:dw|So what do we get on our next line? :)

  18. 1668168
    • one year ago
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    so then I multiply -6x^2 *2x+3=-12x-18x^2

  19. zepdrix
    • one year ago
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    -12x^3-18x^2 is what you meant I assume? Ok good, then we subtract!|dw:1384228134036:dw|

  20. 1668168
    • one year ago
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    sorry i keep forgetting the x^3

  21. 1668168
    • one year ago
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    so 18^2

  22. zepdrix
    • one year ago
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    |dw:1384228374212:dw|Ok good!

  23. 1668168
    • one year ago
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    is this the answer 5x3-6x2+9x-14 i finished it

  24. zepdrix
    • one year ago
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    Oh sorry I ran off for a sec :) I dunno lemme check real quick.

  25. zepdrix
    • one year ago
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    Ok looks good! Did you end up with any remainder?

  26. 1668168
    • one year ago
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    yeah of 47

  27. zepdrix
    • one year ago
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    Yay good job! \c:/

  28. 1668168
    • one year ago
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    thanks for all help...you are a lifesaver

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