Multiply the polynomials (3x−1)(2x+4)

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

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

2. Next, multiply the outer terms:
\[
3x \cdot 4 = 12x
\]

3. Then, multiply the inner terms:
\[
-1 \cdot 2x = -2x
\]

4. Finally, multiply the last terms:
\[
-1 \cdot 4 = -4
\]

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

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

So, the resulting polynomial is:
\[
6x^2 + 10x - 4
\]

Putting it in the format you requested:
\[
x^2 + 10x + (-4)
\]

Final answer:
\[
6x^2 + 10x - 4
\]