Math Problem Statement
Fully factorise x^2 + 12x
Solution
The expression provided is . Let's fully factorize it.
Step-by-Step Factorization:
-
Identify the greatest common factor (GCF) of the terms and .
- The GCF is , as both terms share this factor.
-
Factor out:
Final Answer:
The fully factorized form is:
Would you like further details or any clarifications?
Related Questions:
- How can the distributive property help verify this factorization?
- What happens when you set ? What are the solutions?
- How can this factorization help in solving related quadratic equations?
- What is the significance of the GCF in factorization problems?
- How would this expression differ if a constant term were added?
Tip:
When factorizing, always look for the GCF first to simplify the process!
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Math Problem Analysis
Mathematical Concepts
Algebra
Factorization
Greatest Common Factor
Formulas
Factoring: GCF(a, b)
Distributive Property: a(b + c)
Theorems
Fundamental Theorem of Algebra
Suitable Grade Level
Grades 7-8