Question

What is 12x^3 – 9x^2 – 4x + 3 in factored form?

Answer 1

(4x-3) (3x²-1)
Step 1:Equation at the end of step  1  : (((12 • (x3)) - 32x2) - 4x) - 3
 Step  2  :Equation at the end of step  2  : (((22•3x3) - 32x2) - 4x) - 3 Step  3  :Checking for a perfect cube :

 3.1    12x3-9x2-4x-3  is not a perfect cube 

Trying to factor by pulling out :

 3.2      Factoring:  12x3-9x2-4x-3 

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -4x-3 
Group 2:  12x3-9x2 

Pull out from each group separately :

Group 1:   (4x+3) • (-1)
Group 2:   (4x-3) • (3x2)

Answer 2

Answer:(3x^2-1)(4x-3)

Step-by-step explanation: