Question #6454371Fill in the Blank
Algebra-1
Question
Factor the polynomial by grouping. The factored form is ___________.
Answer & Analysis
Analysis
Question Analysis
This question tests the ability to factor a multivariable polynomial using the grouping method, which is a fundamental skill in Algebra-1.
This question tests the ability to factor a multivariable polynomial using the grouping method, which is a fundamental skill in Algebra-1.
Key Concept Explanation
Grouping involves dividing the polynomial into two groups and factoring out the greatest common factor (GCF) from each group. If the resulting expressions have a common factor, it can be factored out to complete the decomposition.
Grouping involves dividing the polynomial into two groups and factoring out the greatest common factor (GCF) from each group. If the resulting expressions have a common factor, it can be factored out to complete the decomposition.
Step-by-step Solution
1. Group the polynomial as .
2. Factor out the GCF from the first group: .
3. Factor out the GCF from the second group:
1. Group the polynomial as .
2. Factor out the GCF from the first group: .
3. Factor out the GCF from the second group:
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