Multiply the polynomials (3x−1)(2x+4) .(2 points)

To multiply the polynomials \( (3x - 1)(2x + 4) \), we can use the distributive property (also known as the FOIL method for binomials).

1. Multiply the first terms:
\[
3x \cdot 2x = 6x^2
\]

2. Multiply the outer terms:
\[
3x \cdot 4 = 12x
\]

3. Multiply the inner terms:
\[
-1 \cdot 2x = -2x
\]

4. Multiply the last terms:
\[
-1 \cdot 4 = -4
\]

Now, combine all these results:
\[
6x^2 + 12x - 2x - 4
\]

Combine the like terms (12x and -2x):
\[
6x^2 + (12x - 2x) - 4 = 6x^2 + 10x - 4
\]

Thus, the product of the polynomials \( (3x - 1)(2x + 4) \) is:
\[
6x^2 + 10x - 4
\]

So, the final answer is:
- \(x^2\) coefficient: 6
- \(x\) coefficient: 10
- Constant: -4

Therefore, you would fill in:
- \(x^2 + 10x - 4\)