High School

List all of the possible rational zeros of the polynomial:

\[ f(x) = x^{4} + 23x^{2} - 47x + 8 \]

Answer :

Final answer:

The possible rational zeros are 1, -1, 2, -2, 4, and -4.

Explanation:

The possible rational zeros of a polynomial can be found using the rational root theorem. According to the theorem, the rational zeros of the polynomial are the factors of the constant term (in this case, 8) divided by the factors of the leading coefficient (in this case, 1).

So, the factors of 8 are 1, -1, 2, -2, 4, and -4, and the factors of 1 are 1 and -1.

Therefore, the possible rational zeros are:

  • 1
  • -1
  • 2
  • -2
  • 4
  • -4

Learn more about Rational zeros here:

https://brainly.com/question/29004642

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