anonymous
  • anonymous
What are the possible rational zeros of f(x) = x4 + 6x3 – 3x2 + 17x – 15? Help me please
Mathematics
katieb
  • katieb
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amistre64
  • amistre64
the rational roots test might be applicable
amistre64
  • amistre64
\[\pm\frac{factors.of.15}{factors.of.1}\] since the last term is 15 and the first term is 1
anonymous
  • anonymous
would there be anything for the x? would it just be zero? bc thts the one thts confusing me

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amistre64
  • amistre64
the actual values that will zero this out can get complicated; the question is just asking what possible values there could be to test
amistre64
  • amistre64
we know that whatever the actual zeros are, they have to multiply to get 15 and 1
anonymous
  • anonymous
so wouldn't it be ± 1, ± 3, ± 5, ± 15?
amistre64
  • amistre64
so, 15 factors into 1,3,5,15 and 1 factors into 1 which is trivial \[\pm{1,3,5,15}\]are our possible zeros to test out if need be
amistre64
  • amistre64
thats correct
anonymous
  • anonymous
okay thank you!!!

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