Question
k^2 + 9k + 18
Answers
GPT-4o mini
The expression \( k^2 + 9k + 18 \) is a quadratic polynomial. If you're looking to factor it, we can find two numbers that multiply to \( 18 \) (the constant term) and add up to \( 9 \) (the coefficient of the linear term).
The numbers \( 3 \) and \( 6 \) work because:
- \( 3 \cdot 6 = 18 \)
- \( 3 + 6 = 9 \)
Thus, we can factor the expression as follows:
\[
k^2 + 9k + 18 = (k + 3)(k + 6)
\]
If you need further assistance, such as finding the roots or graphing this quadratic, let me know!
The numbers \( 3 \) and \( 6 \) work because:
- \( 3 \cdot 6 = 18 \)
- \( 3 + 6 = 9 \)
Thus, we can factor the expression as follows:
\[
k^2 + 9k + 18 = (k + 3)(k + 6)
\]
If you need further assistance, such as finding the roots or graphing this quadratic, let me know!