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To multiply the polynomials \( (3x - 1)(2x + 4) \), we can use the distributive property, often referred to as the FOIL method for binomials, which stands for First, Outside, Inside, Last.
1. **First terms**: \( 3x \cdot 2x = 6x^2 \)
2. **Outside terms**: \( 3x \cdot 4 = 12x \)
3. **Inside terms**: \( -1 \cdot 2x = -2x \)
4. **Last terms**: \( -1 \cdot 4 = -4 \)
Now, combine all these results:
\[
6x^2 + 12x - 2x - 4
\]
Combining the like terms (\( 12x - 2x \)) gives:
\[
6x^2 + 10x - 4
\]
So the product of the polynomials \( (3x - 1)(2x + 4) \) is:
\[
6x^2 + 10x - 4
\]
Filling in your blanks, we have:
\[
\_x^2 + \_x + \_
\]
This translates to:
\[
6x^2 + 10x - 4
\]
Thus, the completed expression is:
6, 10, -4