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Question
Multiply the polynomials: (3x−1)(2x+4)
(1 point)
Responses

6x2+10x−4
6 x squared plus 10 x minus 4

6x2−10x+4
6 x squared minus 10 x plus 4

6x2+14x−4
6 x squared plus 14 x minus 4

6x2−14x+4

Answer 1

To multiply the polynomials (3x−1)(2x+4), we apply the distributive property (also known as the FOIL method for binomials):

1. **First**: Multiply the first terms:
\(3x \cdot 2x = 6x^2\)

2. **Outer**: Multiply the outer terms:
\(3x \cdot 4 = 12x\)

3. **Inner**: Multiply the inner terms:
\(-1 \cdot 2x = -2x\)

4. **Last**: Multiply the last terms:
\(-1 \cdot 4 = -4\)

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

Next, combine like terms (12x - 2x):
\[
6x^2 + 10x - 4
\]

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

So, the correct response is:
**6x² + 10x − 4**.