Question

What are the possible rational zeros of f(x) = x4 + 6x3 – 3x2 + 17x – 15?

Answer 1

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Below are the choices that can be found from other sources:

± 1, ± 3, ± 5, ± 15 

± 1, ± , ± , ± 

± 1, ± 3, ± 6, ± 15, ± 17 

± 1, ± , ± , ± , ± 

The answer is ± 1, ± 3, ± 5, ± 15 

Answer 2

Answer with explanation:

The given fourth degree polynomial is:

  $f(x)=x^4+6 x^3-3 x^2+17 x-15$

By rational root theorem , the possible Zeroes of the polynomial are factors of 15 .

Factors of 15 are

  $=\pm 1, \pm 3, \pm 5, \pm 15$

There are 8 possible Zeroes of the given Polynomial expression.