Question

Could someone clarrify this for me Factor completely 3x^2 + 2x − 1. (3x + 1)(x − 1) (3x + 1)(x + 1) (3x − 1)(x + 1) (3x − 1)(x − 1)

Answer 1

(3x-1)(x+1)

Explanation:

3x² + 2x − 1

when factorizing , first look at the constant number( in this case it is 1 prime number), then find the GCF if found.

(3x )(x ) first step : 3x*x=3x^2

(3x- ) (x+ ) the sign for the constant is minus so the factoring has to be minus and plus on each side

(3x-1)(x+1) look at the 2x it has positive sign, means the sign is plus:

3x-1

x+1

regular standard multiplication

3x(x)-1(x)+1(3x)-1

3x²+2x-1

Answer 2

(3x-1) (x+1)

Explanation:

3x^2 + 2x − 1

3x^2 factors into 3x and x

-1 factors into -1 and 1

We want a postive 2x

(3x-1) (x+1)