Each term of expression
6x⁴ - 9x³ - 36x² + 54x
can be divided by 3x. Therefore the expression can be simplified to:
3x(2x³ - 3x² - 12x + 18)
Expression 2x³ - 3x² - 12x + 18 can be represented as (x - 2.45)(x + 2.45)(x - 1.5)
Finally, expression 6x⁴ - 9x³ - 36x² + 54x is factored as 3x(x - 2.45)(x + 2.45)(x - 1.5)
Good luck.