Question

factorize 2x^3-x^2-4x+3​

Answer 1

x=−  

2

3

​  

=−1.500

x=1

Step by step solution :

STEP

1

:

Equation at the end of step 1

 ((2x3 -  x2) -  4x) +  3  = 0  

STEP

2

:

Checking for a perfect cube

2.1    2x3-x2-4x+3  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  2x3-x2-4x+3  

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

Group 1:  -4x+3  

Group 2:  2x3-x2  

Pull out from each group separately :

Group 1:   (-4x+3) • (1) = (4x-3) • (-1)

Group 2:   (2x-1) • (x2)