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## Christos 3 years ago Can you teach me how to do long division? Delete Cancel Submit

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1. Luigi0210
• 3 years ago
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Any specific examples..?

2. anonymous
• 3 years ago
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I can teach you my more kid-friendly approach to long division, if that's okay with you.

3. Christos
• 3 years ago
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2x^3-3x^2-36x+5

4. anonymous
• 3 years ago
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Oh that sort of long division... Yeah I always forget that. Luigi, I summon thee!

5. Luigi0210
• 3 years ago
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What are you dividing it by?

6. Christos
• 3 years ago
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diving by x - 5

7. Luigi0210
• 3 years ago
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There's an easier way. Have you learned synthetic division?

8. Christos
• 3 years ago
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No can you teach me please

9. Luigi0210
• 3 years ago
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Synthetic division is like upside down division. So for the problem $\frac{ 2x^3-3x^2-36x+5 }{ x-5 }$ It would look like this: |dw:1368504397441:dw|

10. Christos
• 3 years ago
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the result is 2x^3+7x-1 ?

11. Luigi0210
• 3 years ago
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no 2x^2

12. Christos
• 3 years ago
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can you explain to me how you got those numbers at your image

13. Christos
• 3 years ago
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These ones http://screencast.com/t/lqjFKcJA

14. Luigi0210
• 3 years ago
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For synthetic division first what you do is solve for x: x-5=0 x=5 -------------------------------------------------- Now just take the coefficients of the equation and plug them in. When it is set up you then drop the first number, like in the example we dropped the 2. Next we would multiply it by 5 and add it to the next coefficient and then repeat. So 5*2 is 10. and -3+10 is 7.and 7*5 is 35. 35+-36 which is -1. and -1*5 is -5 and so on

15. Christos
• 3 years ago
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thank you

16. Luigi0210
• 3 years ago
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Synthetic division only works with linear equations.

17. Christos
• 3 years ago
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what do you mean by "linear" ?

18. Christos
• 3 years ago
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@Luigi0210

19. Luigi0210
• 3 years ago
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Like you can't use this method if you're dividing by like x^2 and beyond. It only works with x+5, x-2, 5x+9, etc.

20. Christos
• 3 years ago
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I see :)

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