Question

Multiply. Express your answer as a polynomial in standard form.

(2x+3)(3x+2)

(1 point)

Answer 1

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

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

2. **Outer**: Multiply the outer terms:
\[
2x \cdot 2 = 4x
\]

3. **Inner**: Multiply the inner terms:
\[
3 \cdot 3x = 9x
\]

4. **Last**: Multiply the last terms:
\[
3 \cdot 2 = 6
\]

Now, combine all these results:
\[
6x^2 + 4x + 9x + 6
\]

Next, combine the like terms (\(4x\) and \(9x\)):
\[
6x^2 + (4x + 9x) + 6 = 6x^2 + 13x + 6
\]

So, the final answer in standard form is:
\[
\boxed{6x^2 + 13x + 6}
\]