## Christos Group Title Can you teach me how to do long division? one year ago one year ago

1. Luigi0210 Group Title

Any specific examples..?

2. smokeydabear Group Title

I can teach you my more kid-friendly approach to long division, if that's okay with you.

3. Christos Group Title

2x^3-3x^2-36x+5

4. smokeydabear Group Title

Oh that sort of long division... Yeah I always forget that. Luigi, I summon thee!

5. Luigi0210 Group Title

What are you dividing it by?

6. Christos Group Title

diving by x - 5

7. Luigi0210 Group Title

There's an easier way. Have you learned synthetic division?

8. Christos Group Title

No can you teach me please

9. Luigi0210 Group Title

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 Group Title

the result is 2x^3+7x-1 ?

11. Luigi0210 Group Title

no 2x^2

12. Christos Group Title

can you explain to me how you got those numbers at your image

13. Christos Group Title

These ones http://screencast.com/t/lqjFKcJA

14. Luigi0210 Group Title

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 Group Title

thank you

16. Luigi0210 Group Title

Synthetic division only works with linear equations.

17. Christos Group Title

what do you mean by "linear" ?

18. Christos Group Title

@Luigi0210

19. Luigi0210 Group Title

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 Group Title

I see :)