The given expression is:

\[
c^2 - 9c + 18
\]

This is a quadratic expression, and we can try to factor it. The general form of a quadratic expression is:

\[
ax^2 + bx + c
\]

Here, \(a = 1\), \(b = -9\), and \(c = 18\).

### Factoring the Quadratic Expression:

We need two numbers that multiply to \(18\) (the constant term) and add up to \(-9\) (the coefficient of the linear term).

The numbers \(-6\) and \(-3\) work because:

\[
-6 \times -3 = 18 \quad \text{and} \quad -6 + -3 = -9
\]

Therefore, the factorization of the quadratic is:

\[
(c - 6)(c - 3)
\]

So, the expression \(c^2 - 9c + 18\) factors to:

\[
(c - 6)(c - 3)
\]

Let me know if you would like any more details or explanations!

### Related Questions:
1. How do you solve quadratic equations by factoring?
2. What are the different methods for solving quadratic equations?
3. What is the quadratic formula, and when should it be used?
4. How do you find the roots of a quadratic equation from its factors?
5. Can all quadratic expressions be factored easily?

**Tip:** Always check if the quadratic can be factored first; it's usually faster than using the quadratic formula!

Discover how to factor the quadratic expression c^2 - 9c + 18 through a detailed solution. Learn about factoring quadratics and the key concepts involved, suitable for students in Grades 8-10.

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