Answer: 3x - 2
Step-by-step explanation:
Here, the given expression,
[tex]6x^2 - 7x + 2[/tex]
[tex]=6x^2-(4x+3x) + 2[/tex] ( By middle term splitting )
[tex]=6x^2 - 4x - 3x +2[/tex]
[tex]=2x(3x-2)-1(3x-2)[/tex]
[tex]=(2x-1)(3x-2)[/tex]
Thus, the factor of the given polynomial are (2x-1 ) and (3x-2)
If one is (2x-1)
Then other is (3x-2)
⇒ First option is correct.
Note : we can also find the other factor by dividing the given expression by 2x-1.
