Factorise `x^(3)-7x+6`.

Explanation

To factorize the polynomial \( x^3 - 7x + 6 \), we will follow a systematic approach.

### Step 1: Identify possible rational roots
We can use the Rational Root Theorem to test for possible rational roots. The possible rational roots are the factors of the constant term (6) divided by the factors of the leading coefficient (1). The factors of 6 are \( \pm 1, \pm 2, \pm 3, \pm 6 \).

### Step 2: Test the possible roots
We will substitute these values into the polynomial to see if any of them yield zero.

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