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)

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

answer: b f g .

step-by-step explanation: