Question #6454418Fill in the Blank
Algebra-1
Question
Factor the polynomial completely. The factored form is ___________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to factor a multivariable polynomial with negative coefficients completely, which requires advanced factoring techniques and careful handling of signs.
This question tests the student's ability to factor a multivariable polynomial with negative coefficients completely, which requires advanced factoring techniques and careful handling of signs.
Key Concept Explanation
Factoring polynomials with negative coefficients involves identifying and extracting the greatest common factor (GCF), including negative GCFs, and then grouping terms to find common factors. The process may require multiple steps and simplifications.
Factoring polynomials with negative coefficients involves identifying and extracting the greatest common factor (GCF), including negative GCFs, and then grouping terms to find common factors. The process may require multiple steps and simplifications.
Step-by-step Solution
1. Factor out the GCF of all terms: , giving .
2. Group terms inside:
1. Factor out the GCF of all terms: , giving .
2. Group terms inside:
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