Math Problem Statement

3x2129-3x^2-12-9

Solution

To factor the expression 3x2129-3x^2 - 12 - 9, follow these steps:

  1. Combine like terms: 3x2129=3x221-3x^2 - 12 - 9 = -3x^2 - 21

  2. Factor out the greatest common factor (GCF): The GCF of 3x2-3x^2 and 21-21 is 3-3. Factor out 3-3: 3(x2+7)-3(x^2 + 7)

So, the factored form of the expression 3x2129-3x^2 - 12 - 9 is: 3(x2+7)-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.

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Math Problem Analysis

Mathematical Concepts

Algebra
Factoring Polynomials

Formulas

Factoring out the greatest common factor
Combining like terms

Theorems

Factorization of polynomials

Suitable Grade Level

Grades 7-9