What is 12x³ – 9x² – 4x + 3 in factored form?
(4x-3) (3x²-1) is incorrect by the way.

  (4x -3)(√3x -1)(√3x +1)

Step-by-step explanation:

Your factoring is correct for integers. However the quadratic term can be factored further using irrational coefficients. It is the difference of the squares of (√3)x and 1, so can be factored as such.

  12x³ -9x² -4x +3 = 3x²(4x -3) -(4x -3) = (3x² -1)(4x -3)

  = ((√3)x -1)((√3)x +1)(4x -3) . . . . . . further factoring the difference of squares

RM 687.3

Step-by-step explanation:

Number of members = 257

Each member makes = RM 25

So, total money = 257×25= RM 6425

1- 45 % of 6425 = 45 /100 × 6425=RM 2891.25

So, RM 2891.25  was spent for the year-end banquet. Hence remaining money after this expenditure = 6425-2891.25= RM 3533.75

2- 65 % of this remaining money = 65 /100 × 3533.75= RM 2296.45

So, RM 2296.5 were spent on souvenirs. Hence remaining amount = 3533.75 - 2296.45 =  RM 1237.3

3- Out of this remaining money RM 550 were spent for club jersey booking fees.

So, amount left = 1237.3 - 550 = RM 687.3