algebra

This is a trinomial in the form of ax^3+bx^2+cx. The factorization is (6x)(9x^2-5x-1). We first factor out the greatest common factor (GCF), which is 6x. Then, we rewrite 54x^3-15x^2-6x as 6x(9x^2-5x-1). We can factor 9x^2-5x-1 into (3x+1)(3x-1) using the quadratic formula, yielding (6x)(3x+1)(3x-1).