Using the rational root theorem, what are all the rational roots of the polynomial f(x) = 20x4 + x3 + 8x2 + x – 12?

The all possible rational roots are .

Explanation:

The given polynomial is,

The Rational Root Theorem states that the all possible roots of a polynomial are in the form of a rational number,

Where p is a factor of constant term and q is the factor of coefficient of leading term.

In the given polynomial the constant is -12 and the leading coefficient is 20.

All possible factor of -12 are .

All possible factor of 20 are .

So, the all possible rational roots of the given polynomial are,

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