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img of Consider the following polynomial function.  \[ f(x) = x^4...

Question: Consider the following polynomial function. \[ f(x) = x^4 - 3x^3 - 6x^2 + 6x + 8 \] Step 1 of…

Consider the following polynomial function.

\[ f(x) = x^4 - 3x^3 - 6x^2 + 6x + 8 \]

Step 1 of 4: Factor the polynomial completely.

Answer

\[ f(x) = \]

Solution

Step 1 of 4: Identify possible rational roots using the Rational Root Theorem. Possible rational roots are \( \pm1, \pm2, \pm4, \pm8 \).

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