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).

Let's multiply them step-by-step:

1. **First:** Multiply the first terms in each binomial:
\[
3x \cdot 2x = 6x^2
\]

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

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

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