Question

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

x^2+ x+

Answer 1

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

Here’s the step-by-step calculation:

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

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

So, the final result of multiplying \((3x - 1)(2x + 4)\) is:
\[
\boxed{6x^2 + 10x - 4}
\]