The expression \( c^2 - 7c + 6 \) is a quadratic expression. To factor it, we need to find two numbers that multiply to give the constant term (+6) and add up to give the coefficient of the linear term (-7).

The numbers that satisfy these conditions are -6 and -1 because:

\[
-6 \times -1 = +6 \quad \text{and} \quad -6 + (-1) = -7
\]

So, the factored form of the quadratic expression is:

\[
c^2 - 7c + 6 = (c - 6)(c - 1)
\]

Would you like further explanation or have any specific questions on this?

Here are 5 related questions to explore:

1. How do you solve the equation \( c^2 - 7c + 6 = 0 \)?
2. What is the quadratic formula, and how would you apply it to \( c^2 - 7c + 6 \)?
3. How do you determine the roots of a quadratic equation graphically?
4. How can factoring quadratics help in solving real-world problems?
5. What happens if a quadratic equation cannot be factored easily?

**Tip:** Always check if a quadratic expression can be factored before using more advanced methods like the quadratic formula. It can save time!

Learn how to factor the quadratic expression c^2 - 7c + 6 with a detailed solution. This step-by-step guide explains key algebraic concepts like factoring and the quadratic formula. Suitable for students in Grades 8-10.

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