## A community for students. Sign up today

Here's the question you clicked on:

## anonymous one year ago Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function. f(x) = -2x^4 + 4x^3 + 3x^2 + 18

• This Question is Closed
1. anonymous

Lol do you need help with this one ?

2. anonymous

please !!!!!!!!!

3. anonymous

what are the factors of the leading coefficient? what are the factors of the constant term?

4. anonymous

Similar problem as an example ; f(x) = -2x^3 + 3x^2 -2x +8 Solution: Factors of the constant term (8) / Factors of the leading coefficient (-2) so that would be: 1, 2, 4, 8 / 1, 2 So then each numerator over each denominator is a rational zero.... +/- 1/1, +/- 2/1, +/- 4/1, +/- 8/1, +/- 1/2, +/- 2/2, +/- 4/2, and +/- 8/2 Simplified: +/- 1, +/- 2, +/- 4, +/- 8, +/- 1/2, +/-1, +/- 2, and +/- 4 There are some duplicates so you can "drop" them... So your final answer is: +/- 1/2, +/- 1, +/- 2, +/- 4, +/- 8

5. anonymous

omg this is so confusing

6. anonymous

f(x) = -2x^4 + 4x^3 + 3x^2 + 18 constant term? Factors of the leading coefficient?

7. anonymous
8. anonymous

factors of 2: 1,2 factors of 18: 1,2,3,4,6,18 so some examples include 1/1,1/2,2/1,2/2,3/1,3/2,...

9. anonymous

ok

10. anonymous

so what are constant term? Factors of the leading coefficient? and do i need to do that for every number?

11. anonymous

@jenny1003

12. anonymous

-2 and 18 Sorry I'm helping alot of ppl at the same time

13. anonymous

factors of 2: 1,2 factors of 18: 1,2,3,4,6,18 factors of 4: 1,2,4 factors of 13: 1,3,

14. anonymous

3 not 13

15. anonymous

The leading term of a polynomial is the term of highest degree. The leading coefficient of a polynomial is the coefficient of the leading term. The degree of a polynomial is the degree of the leading term.

16. anonymous

leading term 4 leading coefficient -2

17. anonymous

I'm lost right now

18. anonymous

i am too

19. anonymous

20. anonymous

@200205650 Please help....Srry

21. anonymous
22. anonymous

So you are pretty much solving for x in this equation right?

23. anonymous

i don't really know :O

24. anonymous

@ParthKohli

25. anonymous
26. anonymous

This video might help in solving this problem. And yes you are trying to find what are all the numbers that can equal x. Factoring is one way of solving this problem. I can help you if you don't know how to factor this problem.

27. anonymous

@ganeshie8 @nincompoop

28. anonymous

@Peaches15

29. anonymous

@DanTheMan99

30. anonymous

i just saw the video, but still i can't understand

31. anonymous

Did you watch the whole thing?

32. anonymous

yes

33. anonymous

jk

34. anonymous

i didn't

35. anonymous

i saw the beginning

36. anonymous

Okay why don't you watch that video and I'll try to solve this problem using factoring. Is that fine?

37. anonymous

thank you

38. anonymous

No problem!

39. anonymous

@DanTheMan99 check this out http://www.wolframalpha.com/input/?i=f%28x%29+%3D+-2x%5E4+%2B+4x%5E3+%2B+3x%5E2+%2B+18

40. anonymous

$-2x^4+4x^3+3x^2+18$$-2x^3(x-2)+3(x^2+6)$$(-2x^3+3)(x-2)(x^2+6)$ Equation #1:$(-2x^3+3)=0$$-2x^3=-3$$x^3=\frac{ 3 }{ 2 }$$x=0.72112$ Equation#2: $(x-2)=0$$x=2$ Equation #3:$(x^2+6)=0$$x^2=-6$$x=\sqrt{6}i$

41. anonymous

thank you guys so much

42. anonymous

You're welcome!

43. anonymous

Greatly done, @200205650

44. anonymous

Thanks!

45. anonymous

+ 1/2, + 1, + 2, + 4, + 8, - 1/2, - 1, - 2, - 4, and -8.

46. anonymous

47. anonymous

i don't know how to answer

48. anonymous

like how to put it into words

49. anonymous

ugh

50. anonymous

@nono266 please help me

51. anonymous

52. anonymous

what should i write

53. OregonDuck

you have it written fine

54. anonymous

i know but whats my explanation

55. anonymous

like what proof can i give

56. OregonDuck

there is no need to do so

57. anonymous

are you sure

58. OregonDuck

100% positive

59. OregonDuck

is this flvs?

60. anonymous

yeah

61. OregonDuck

ok then yeah you do not need to

62. OregonDuck

for sure

63. OregonDuck

it is fine if you have the right answer then they know you understand it

64. anonymous

ok thanks

65. OregonDuck

do i get 10 owl bucks because i need them

66. OregonDuck

?????????????

67. OregonDuck

do you have paypal?

68. anonymous

no

69. OregonDuck

can you ask the question for me and i go under it. ask a qualified helper question

70. OregonDuck

ask the question as ALGEBRA 1 HELP THEN I WILL ADD THE REST

#### Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy