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

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

  1. First Terms: \( 3x \cdot 2x = 6x^2 \)
  2. Outer Terms: \( 3x \cdot 4 = 12x \)
  3. Inner Terms: \( -1 \cdot 2x = -2x \)
  4. Last Terms: \( -1 \cdot 4 = -4 \)

Now, we combine all the results:

\[ 6x^2 + 12x - 2x - 4 \]

Now combine the like terms (\( 12x - 2x \)):

\[ 6x^2 + 10x - 4 \]

Therefore, the product of the polynomials \( (3x - 1)(2x + 4) \) is:

\[ \boxed{6x^2 + 10x - 4} \]