anonymous
  • anonymous
According to the rational root theorem, which is not a possible rational root of x^3 + 8x^2 - x - 6 = 0? 1 4 2 6
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Mertsj
  • Mertsj
The possible rational roots are the factors of the constant term divided by the factors of the coefficient of the leading term.
Mertsj
  • Mertsj
The constant term is -6 The leading term is x^3 and its coefficient is 1
Mertsj
  • Mertsj
So the possible rational roots are the factors of -6 divided by the factors of 1

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Mertsj
  • Mertsj
So what are the possible rational roots?
anonymous
  • anonymous
6
Mertsj
  • Mertsj
What are the factors of -6?
anonymous
  • anonymous
no clue???
Mertsj
  • Mertsj
Let me give you an example: The factors of 12 are 4 and 3 because 4 x 3 = 12
Mertsj
  • Mertsj
Also 2 and 6 are factors of 12 because 2 x 6 = 12
Mertsj
  • Mertsj
Also -1 and -12 are factors of 12 because -1 x -12 = 12
Mertsj
  • Mertsj
Now you tell me some factors of -6
anonymous
  • anonymous
what two numbers when multiplied equal 6
anonymous
  • anonymous
-6
anonymous
  • anonymous
1
Mertsj
  • Mertsj
ok. Now gojani91 wants to help you. Good bye
anonymous
  • anonymous
lol ok then
anonymous
  • anonymous
damn you dont have to be rude mertsj
anonymous
  • anonymous
lol its fine dont worry about it :)
anonymous
  • anonymous
forget it, it's cool ill figure it out but thanks for trying to help i can be quite difficult...
anonymous
  • anonymous
what are the factors of -6
anonymous
  • anonymous
-1 x 6 1 x -6 2 x -3 3 x -2
anonymous
  • anonymous
1?
anonymous
  • anonymous
and 2
anonymous
  • anonymous
-3 am i right?
anonymous
  • anonymous
yes those are all roots
anonymous
  • anonymous
k so which do I choose from 1 and 2?
anonymous
  • anonymous
this is an easy problem because the leading coefficient is 1 from x^3 so all those numbers can be divided by 1
anonymous
  • anonymous
your question ask which is not a possible root number
anonymous
  • anonymous
oh ok so 4
anonymous
  • anonymous
so what numbers is not a factor of 6
anonymous
  • anonymous
yes you got it
anonymous
  • anonymous
thank you so much really appreciate it :)
anonymous
  • anonymous
no problem

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