anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Lol do you need help with this one ?
anonymous
  • anonymous
please !!!!!!!!!
anonymous
  • anonymous
what are the factors of the leading coefficient? what are the factors of the constant term?

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anonymous
  • 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
anonymous
  • anonymous
omg this is so confusing
anonymous
  • anonymous
f(x) = -2x^4 + 4x^3 + 3x^2 + 18 constant term? Factors of the leading coefficient?
anonymous
  • anonymous
http://softmath.com/tutorials-3/reducing-fractions/the-real-zeros-of-a-polynomial.html
anonymous
  • 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,...
anonymous
  • anonymous
ok
anonymous
  • anonymous
so what are constant term? Factors of the leading coefficient? and do i need to do that for every number?
anonymous
  • anonymous
@jenny1003
anonymous
  • anonymous
-2 and 18 Sorry I'm helping alot of ppl at the same time
anonymous
  • 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,
anonymous
  • anonymous
3 not 13
anonymous
  • 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.
anonymous
  • anonymous
leading term 4 leading coefficient -2
anonymous
  • anonymous
I'm lost right now
anonymous
  • anonymous
i am too
anonymous
  • anonymous
anonymous
  • anonymous
@200205650 Please help....Srry
anonymous
  • anonymous
http://www.mcg.net/nelson/CHAT/math/precalculus/overheads/sec.%202.5.pdf
anonymous
  • anonymous
So you are pretty much solving for x in this equation right?
anonymous
  • anonymous
i don't really know :O
anonymous
  • anonymous
@ParthKohli
anonymous
  • anonymous
http://www.virtualnerd.com/tutorials/?id=Alg2_06_01_0020
anonymous
  • 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.
anonymous
  • anonymous
@ganeshie8 @nincompoop
anonymous
  • anonymous
@Peaches15
anonymous
  • anonymous
@DanTheMan99
anonymous
  • anonymous
i just saw the video, but still i can't understand
anonymous
  • anonymous
Did you watch the whole thing?
anonymous
  • anonymous
yes
anonymous
  • anonymous
jk
anonymous
  • anonymous
i didn't
anonymous
  • anonymous
i saw the beginning
anonymous
  • anonymous
Okay why don't you watch that video and I'll try to solve this problem using factoring. Is that fine?
anonymous
  • anonymous
thank you
anonymous
  • anonymous
No problem!
anonymous
  • 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
anonymous
  • 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:\[(x^2+6)=0\]\[x^2=-6\]\[x=\sqrt{6}i\]
anonymous
  • anonymous
thank you guys so much
anonymous
  • anonymous
You're welcome!
anonymous
  • anonymous
Greatly done, @200205650
anonymous
  • anonymous
Thanks!
anonymous
  • anonymous
+ 1/2, + 1, + 2, + 4, + 8, - 1/2, - 1, - 2, - 4, and -8.
anonymous
  • anonymous
anonymous
  • anonymous
i don't know how to answer
anonymous
  • anonymous
like how to put it into words
anonymous
  • anonymous
ugh
anonymous
  • anonymous
@nono266 please help me
anonymous
  • anonymous
anonymous
  • anonymous
what should i write
OregonDuck
  • OregonDuck
you have it written fine
anonymous
  • anonymous
i know but whats my explanation
anonymous
  • anonymous
like what proof can i give
OregonDuck
  • OregonDuck
there is no need to do so
anonymous
  • anonymous
are you sure
OregonDuck
  • OregonDuck
100% positive
OregonDuck
  • OregonDuck
is this flvs?
anonymous
  • anonymous
yeah
OregonDuck
  • OregonDuck
ok then yeah you do not need to
OregonDuck
  • OregonDuck
for sure
OregonDuck
  • OregonDuck
it is fine if you have the right answer then they know you understand it
anonymous
  • anonymous
ok thanks
OregonDuck
  • OregonDuck
do i get 10 owl bucks because i need them
OregonDuck
  • OregonDuck
?????????????
OregonDuck
  • OregonDuck
do you have paypal?
anonymous
  • anonymous
no
OregonDuck
  • OregonDuck
can you ask the question for me and i go under it. ask a qualified helper question
OregonDuck
  • OregonDuck
ask the question as ALGEBRA 1 HELP THEN I WILL ADD THE REST

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