Problem
Factorize the polynomial \(3x^3 - 6x^2 + 2x - 4\) by grouping.
Solution
Step 1 ：First, group the terms into two pairs: \(3x^3 - 6x^2\) and \(2x - 4\).
Step 2 ：Factor out common terms from each group: \(3x^2(x - 2)\) and \(2(x - 2)\).
Step 3 ：Notice that the terms \(x - 2\) are common to both groups, so we can factor them out: \((x - 2)(3x^2 + 2)\).
