The solution of FX = 4x ^ 3-8x ^ 2 + X + 3 is 1.51 - 1.5. Then the factorization is (2x-3) (x-1) (2x-1). I know the cross multiplication of quadratic equation of one variable. Are these two the same

The solution of FX = 4x ^ 3-8x ^ 2 + X + 3 is 1.51 - 1.5. Then the factorization is (2x-3) (x-1) (2x-1). I know the cross multiplication of quadratic equation of one variable. Are these two the same

If you know that the three solutions of 4x ^ 3-8x ^ 2 + X + 3 = 0 are 1.5,1, - 1.5, then the equation can be written as:
4x^3-8x^2+x+3
=(x-1.5) (x-1) (x + 1.5) is transformed into an integer equation, and then multiplied by 4 to obtain:
=(2x-3)(x-1)(2x+3).