The first step with this example is to factor out x² from each term:

6x⁴ − 13x³ + 5x² = x²(6x² − 13x+ 5)

Using grouping method on the (6x² − 13x + 5) part, we have:

• Product of the outer 2 terms is: (6x²)(5) = 30x²
• Inner term: -13x

So we are looking for 2 terms whose product is 30x² and whose sum is -13x.

Those 2 terms are -10x and -3x.

So we can factor our trinomial as follows: