Question: Consider the following polynomial. \[ G(x) = x^4 - 5x^3 + 2x^2 + 20x - 24 \] Step 1 of 2: Use…

Consider the following polynomial.

\[ G(x) = x^4 - 5x^3 + 2x^2 + 20x - 24 \]

Step 1 of 2: Use the Rational Zero Theorem to list all of the potential rational zeros.

Answer

Enter only the positive values. Separate multiple answers with commas.

\[ \pm ( \quad ) \]

Solution

Step 1 Apply the Rational Zero Theorem. \[ \text{Possible rational zeros} = \pm \frac{1, 2, 3, 4, 6, 8, 12, 24}{1} & \] Since only positive values are required, the potential rational zeros are: 1, 2, 3, 4, 6, 8, 12, 24