Factor completely 3x^2+2x-1

(3x - 1) (x + 1)

Step-by-step explanation:

3x^2 factors into 3x and x.

-1 factors into - 1 and 1.

Now we try different positions of 3x, x, - 1, and 1 until we find the correct factorization.

Try: (3x - 1) (x + 1)

When you multiply the two factors together, the middle term will be 3x - x = 2x

Since 2x is the original middle term, this is the correct factorization.

Answer: (3x - 1) (x + 1)