Answer:
(3x-1)
Step-by-step explanation:
[tex]6x^2+x-1[/tex]
We need to find two numbers that multiply to get -6 and have a sum of 1...
3(-2)=-6
3+(-2)=3-2=1
We can use this information to split x into 3x and -2x...
[tex]6x^2+3x-2x-1[/tex]
Factor the first and second half of the expression separately:
[tex]3x(2x+1)-1(2x+1)[/tex]
Since both 3x and -1 are being multiplied by 2x+1, we can combine them to get...
[tex](2x+1)(3x-1)[/tex]
Therefore the missing factor is...
(3x-1)
