The given expression is \( a^2 + 5a - 18 \). To factor this quadratic expression, we'll follow a similar process as before.

### Step 1: Identify the quadratic expression
The quadratic expression is in the form:
\[
a^2 + 5a - 18
\]

### Step 2: Find the factors
We need to find two numbers that multiply to \(-18\) (the constant term) and add to \(5\) (the coefficient of the linear term).

Let's analyze possible pairs of factors of \(-18\):
- \(1 \times -18\)
- \(-1 \times 18\)
- \(2 \times -9\)
- \(-2 \times 9\)
- \(3 \times -6\)
- \(-3 \times 6\)

Among these pairs, \(9\) and \(-2\) satisfy the condition:
\[
9 \times (-2) = -18
\]
\[
9 + (-2) = 7
]

### Step 3: Factor the quadratic expression
Since the sum of the factors doesn't match the coefficient of the linear term, the quadratic expression \( a^2 + 5a - 18 \) cannot be factored easily using simple integer factoring methods. 

However, you can solve it using the quadratic formula. 

Would you like more details or have any questions?

Here are 5 related questions:
1. Can this quadratic expression be solved by completing the square?
2. What are the roots of the quadratic equation?
3. How do you graph this quadratic function?

Learn how to factor the quadratic expression a^2 + 5a - 18 step-by-step. This problem involves finding factors of -18 that add up to 5, exploring key algebraic concepts such as factoring quadratic equations. Suitable for high school students.

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