## Muffinlover Group Title I really need help solving this! (x^4+7x^2-5x+3) / (x^2+4) 2 years ago 2 years ago

1. hartnn

solve means, do u need to find roots of that equation ? or just simplify?

2. Muffinlover

Just simplify.

3. myininaya

So this is what we have: |dw:1349025945871:dw| How many times does x^2 go into x^4?

4. myininaya

Let's try to walk him through so he can get the answer. :)

The drawing would be a good tool to walk him through.

6. Muffinlover

x^2 times?

7. myininaya

Yes so we have |dw:1349026268486:dw|

8. Muffinlover

|dw:1349026244517:dw|

9. myininaya

Now take that number on top (the x^2) and multiply it to your divisor Put the result under the dividend

10. myininaya

We are going to subtract that mess Do -(that result when you multiply x^2 and x^2+4)

11. Muffinlover

|dw:1349026328862:dw|

12. myininaya

|dw:1349026505221:dw||dw:1349026523782:dw|

13. myininaya

Since 0x^3 and -4x^2 aren't like terms I moved the 4x^2 inside the parenthesis |dw:1349026566063:dw|

14. myininaya

Do that subtraction first then we will put another number on top of that bar

15. Muffinlover

|dw:1349026754931:dw|

16. myininaya

Great! Now x^2 goes into x^3 how many times?

17. Muffinlover

x^1 times

18. myininaya

Yep. That goes on top of that bar.

19. myininaya

Then you do the same process again

20. Muffinlover

|dw:1349026913325:dw|

21. myininaya

Multiply x and (x^2+4) Put the result under x^3+3x^2 Then subtract

22. Muffinlover

|dw:1349027023866:dw|

23. myininaya

|dw:1349027169002:dw|

24. Muffinlover

oh its -9x ?

25. myininaya

-4x should be in that circle because you have that - outside the parenthesis

26. myininaya

|dw:1349027267944:dw|

27. Muffinlover

|dw:1349027349632:dw|

28. myininaya

oh yeah we need to bring down that other stuff :) great job @Muffinlover

29. myininaya

Ok! We will have to bring down that 3 as well later

30. myininaya

So how many times does x^2 go into 3x^2 ?

31. myininaya

I will show you what I'm looking at it in your drawing: |dw:1349027587423:dw|

32. Muffinlover

once?

33. myininaya

well what is 3x^2/x^2 is another way of saying it? or since the x^2's cancel then what is 3/1?

34. Muffinlover

3

35. myininaya

yep! :)

36. Muffinlover

:)

37. myininaya

So we put +3 on top of that bar and do what afterwards?

38. Muffinlover

|dw:1349027819214:dw|

39. myininaya

don't forget to do 3(4) too

40. myininaya

|dw:1349028275377:dw|

41. Muffinlover

|dw:1349028280857:dw|

42. myininaya

|dw:1349028491691:dw|

43. Muffinlover

|dw:1349028498601:dw|

44. myininaya

omg wait! lol.

45. myininaya

You remember this step? |dw:1349028682678:dw|

46. myininaya

That is 0x^3 not 1x^3

47. myininaya

We made this problem longer. My bad. I didn't catch it earlier.

48. myininaya

|dw:1349028741475:dw|