jholding6429 jholding6429
  • 20-06-2017
  • Mathematics
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Use the Rational Zero Theorem to list all possible rational zeros for the given function. f(x) = -2x3 + 4x2 - 2x + 8

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amathzing
amathzing amathzing
  • 20-06-2017
rational zero theorem is all combinations of p(factors of the constant) divided by q(factors of the first coefficient) 

factors of 8 are 1, 2, 4, 8
factors of 2 are 1, 2

so all possible rational zeros are all combinations of p/q

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

Now there are some repeats in there so you have to leave those out and once we do that we get 

+/- 1, 1/2, 2, 4, 8 

Remember all those are plus OR minus
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