Question

Find The Missing Factor
6x^2+x-1=(2x+1)( ?)

Answer 1

(3x-1)

Explanation:

`6x^2+x-1`

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...

`6x^2+3x-2x-1`

Factor the first and second half of the expression separately:

`3x(2x+1)-1(2x+1)`

Since both 3x and -1 are being multiplied by 2x+1, we can combine them to get...

`(2x+1)(3x-1)`

Therefore the missing factor is...

(3x-1)