To factor the expression \(-3x^2 - 12 - 9\), follow these steps:

1. **Combine like terms**:
   \[
   -3x^2 - 12 - 9 = -3x^2 - 21
   \]

2. **Factor out the greatest common factor (GCF)**:
   The GCF of \(-3x^2\) and \(-21\) is \(-3\). Factor out \(-3\):
   \[
   -3(x^2 + 7)
   \]

So, the factored form of the expression \(-3x^2 - 12 - 9\) is:
\[
-3(x^2 + 7)
\]

Would you like any further details or have any questions?

Here are five questions you might ask:

1. How do you determine the greatest common factor in an expression?
2. What are some tips for factoring polynomials with higher degrees?
3. Can you show an example of factoring a trigonometric expression?
4. How do you factor expressions with multiple variables?
5. What are the differences between prime factorization and polynomial factorization?

**Tip:** Always look for the greatest common factor (GCF) first when factoring any polynomial expression to simplify the problem.

Learn how to factor the polynomial expression -3x^2 - 12 - 9 with a step-by-step guide. This page covers the process of combining like terms, factoring out the greatest common factor, and provides additional questions for further practice. Suitable for students in Grades 7-9.

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