Step 1 :Use the Factor Theorem to check possible roots, which are the factors of the constant term, -6. In this case, the possible roots are \(\pm 1\), \(\pm 2\), \(\pm 3\), and \(\pm 6\).
Step 2 :Check each possible root by substituting it into the function and seeing if it equals zero. We find that when \(x = 1\), \(x = 2\), and \(x = 3\), the function equals zero. Therefore, \(x = 1\), \(x = 2\), and \(x = 3\) are the roots of the function.
Step 3 :This means that the function can be factored as \(f(x) = (x - 1)(x - 2)(x - 3)\).