Question 1

Question

Multiply. Express your answer as a polynomial in standard form. (1 point)
(2k+3)(3k+2)=
(
2
𝑘
+
3
)
(
3
𝑘
+
2
)
=

Check Answer

Answer 1

To multiply the polynomials \((2k + 3)(3k + 2)\), we'll use the distributive property (also known as the FOIL method for binomials):

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

2. Multiply the outer terms: \[ 2k \cdot 2 = 4k \]

3. Multiply the inner terms: \[ 3 \cdot 3k = 9k \]

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

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

Combine the like terms (\(4k\) and \(9k\)): \[ 6k^2 + 13k + 6 \]

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