anonymous
  • anonymous
Factor 3x⁴-17x³-12x²-62 x+20
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
From my calculations, it's unfactorable. Is this a multiple choice answer?
anonymous
  • anonymous
It's not multiply choice. It is factorable, but into two quadratics. Those cannot be factor. All I'm asking is how do you factor this?
anonymous
  • anonymous
How do you factor 3x⁴-17x³-12x²-62 x+20 into two quadratics?

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anonymous
  • anonymous
Link would be helpful too.
anonymous
  • anonymous
I get it. I know I have a video of this somewhere. One second.
mathslover
  • mathslover
Factor theorem will surely work.
mathslover
  • mathslover
find the factors of 20 first... can you tell me @micahwood50 ?
anonymous
  • anonymous
I'm not sure how to do this, can you show me?
mathslover
  • mathslover
what are the factors of 20?
anonymous
  • anonymous
1, 2, 4, 5, 10, 20
mathslover
  • mathslover
is -1 , -2 , -4,-5,-10, -20 also factors of 20 ?
anonymous
  • anonymous
Yeah.
mathslover
  • mathslover
so , now one by one put : \(\pm 1,\pm 2, \pm 4, \pm 5, \pm 10, \pm 20\) at the place of x in the given expression
mathslover
  • mathslover
In which you get the answer as 0 ?
mathslover
  • mathslover
3x⁴-17x³-12x²-62 x+20 for example : \(3(-1)^4 -17(-1)^3 -12(-1)^2 -62(-1)+20\) \(-3 +17 -12 + 62 + 20 \) \(84 \ne 0\) Do like this for each : \(\pm 1,\pm 2, \pm 4, \pm 5, \pm 10, \pm 20\)
mathslover
  • mathslover
Can you do this @micahwood50 ?
anonymous
  • anonymous
Umm, I tried all of them, none of them works.
anonymous
  • anonymous
http://www.wolframalpha.com/input/?i=factor%283x%5E4-17x%5E3-12x%5E2-62x%2B20%29
anonymous
  • anonymous
those are only the rational roots
mathslover
  • mathslover
we want integral roots...
anonymous
  • anonymous
You know what? Save your time and help someone else. I'm googling Factor theorem. Thanks, though.
anonymous
  • anonymous
if the lowest terms with integer coefficients are quadratics, there aren't any.
anonymous
  • anonymous
factors, not terms
anonymous
  • anonymous
that wording was bad, but I think you know what I mean
anonymous
  • anonymous
\(\large 3x^4-17x^3-12x^2-62x+20 =(3x^2+4x+10)(x^2-7x+2)\) "Link would be helpful too. " I read a post about factoring into quadratics. Here is a post in which someone tried to explain the method of factoring into quadratics, but I could not understand it. :( http://openstudy.com/users/dpainc#/updates/4fcfdafce4b0c6963adaf2bc
anonymous
  • anonymous
I don't think that that would apply in this situation, unless you could see that x^2 -7x + 2 is a factor.

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