Factor the quadratic expression 3xsquared+4x-4

(3x − 2) (x + 2)

Step-by-step explanation:

For a quadratic ax² + bx + c, you can factor using the AC method.

1. First, multiply a and c.

2. Next, find factors of ac that add up to b.

3. Divide the factors by a.  Reduce if possible.

4. The numerator of the fraction becomes the constant.  The denominator of the fraction becomes the coefficient.

3x² + 4x − 4

In this case, a = 3, b = 4, and c = -4.

1. 3 × -4 = -12

2. Factors of -12 that add up to 4 are -2 and +6

3. Divide by 3 and reduce: -2/3, 6/3 = 2/1

4. The factors are 3x − 2 and x + 2

3x² + 4x − 4 = (3x − 2) (x + 2)